Introduction to Banach spaces, Volume 1: analysis and probability
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Weitere beteiligte Personen: | , |
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
166 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9781316675762 https://doi.org/10.1017/CBO9781316675762 https://doi.org/10.1017/CBO9781316675762 https://doi.org/10.1017/CBO9781316675762 |
| Zusammenfassung: | This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition |
| Beschreibung: | Originally published in French as Introduction à l’étude des espaces de Banach by Société Mathématique de France, 2004. - Title from publisher's bibliographic system (viewed on 10 Nov 2017) |
| Umfang: | 1 online resource (ix, 431 Seiten) |
| ISBN: | 9781316675762 |
| DOI: | 10.1017/CBO9781316675762 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV044727883 | ||
| 003 | DE-604 | ||
| 005 | 20210316 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 180124s2017 xx o|||| 00||| eng d | ||
| 020 | |a 9781316675762 |c Online |9 978-1-316-67576-2 | ||
| 024 | 7 | |a 10.1017/CBO9781316675762 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781316675762 | ||
| 035 | |a (OCoLC)1020573138 | ||
| 035 | |a (DE-599)BVBBV044727883 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-92 |a DE-12 |a DE-355 |a DE-83 | ||
| 082 | 0 | |a 515.732 |2 23 | |
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 100 | 1 | |a Li, Daniel |e Verfasser |0 (DE-588)115053589X |4 aut | |
| 240 | 1 | 0 | |a Introduction à l’étude des espaces de Banach |
| 245 | 1 | 0 | |a Introduction to Banach spaces, Volume 1 |b analysis and probability |c Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2017 | |
| 300 | |a 1 online resource (ix, 431 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 166 | |
| 500 | |a Originally published in French as Introduction à l’étude des espaces de Banach by Société Mathématique de France, 2004. - Title from publisher's bibliographic system (viewed on 10 Nov 2017) | ||
| 520 | |a This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition | ||
| 650 | 4 | |a Banach spaces | |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Queffélec, Hervé |e Sonstige |0 (DE-588)1150536144 |4 oth | |
| 700 | 1 | |a Gibbons, Danièle |4 trl | |
| 700 | 1 | |a Gibbons, Greg |4 trl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9781107160514 |
| 830 | 0 | |a Cambridge studies in advanced mathematics |v 166 |w (DE-604)BV044781283 |9 166 | |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781316675762 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-030124007 | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316675762 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316675762 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316675762 |l DE-355 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1818983877166759936 |
|---|---|
| any_adam_object | |
| author | Li, Daniel |
| author2 | Gibbons, Danièle Gibbons, Greg |
| author2_role | trl trl |
| author2_variant | d g dg g g gg |
| author_GND | (DE-588)115053589X (DE-588)1150536144 |
| author_facet | Li, Daniel Gibbons, Danièle Gibbons, Greg |
| author_role | aut |
| author_sort | Li, Daniel |
| author_variant | d l dl |
| building | Verbundindex |
| bvnumber | BV044727883 |
| classification_rvk | SK 600 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781316675762 (OCoLC)1020573138 (DE-599)BVBBV044727883 |
| dewey-full | 515.732 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.732 |
| dewey-search | 515.732 |
| dewey-sort | 3515.732 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316675762 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03336nam a2200517zcb4500</leader><controlfield tag="001">BV044727883</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210316 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">180124s2017 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316675762</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-316-67576-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781316675762</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781316675762</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1020573138</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044727883</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.732</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Li, Daniel</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)115053589X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Introduction à l’étude des espaces de Banach</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to Banach spaces, Volume 1</subfield><subfield code="b">analysis and probability</subfield><subfield code="c">Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2017</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (ix, 431 Seiten)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">166</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Originally published in French as Introduction à l’étude des espaces de Banach by Société Mathématique de France, 2004. - Title from publisher's bibliographic system (viewed on 10 Nov 2017)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach spaces</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Queffélec, Hervé</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)1150536144</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gibbons, Danièle</subfield><subfield code="4">trl</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gibbons, Greg</subfield><subfield code="4">trl</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9781107160514</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">166</subfield><subfield code="w">(DE-604)BV044781283</subfield><subfield code="9">166</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781316675762</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030124007</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316675762</subfield><subfield code="l">DE-12</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316675762</subfield><subfield code="l">DE-92</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316675762</subfield><subfield code="l">DE-355</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">UBR Einzelkauf (Lückenergänzung CUP Serien 2018)</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044727883 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:10:05Z |
| institution | BVB |
| isbn | 9781316675762 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030124007 |
| oclc_num | 1020573138 |
| open_access_boolean | |
| owner | DE-92 DE-12 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-92 DE-12 DE-355 DE-BY-UBR DE-83 |
| physical | 1 online resource (ix, 431 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Li, Daniel Verfasser (DE-588)115053589X aut Introduction à l’étude des espaces de Banach Introduction to Banach spaces, Volume 1 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons Cambridge Cambridge University Press 2017 1 online resource (ix, 431 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 166 Originally published in French as Introduction à l’étude des espaces de Banach by Société Mathématique de France, 2004. - Title from publisher's bibliographic system (viewed on 10 Nov 2017) This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition Banach spaces Banach-Raum (DE-588)4004402-6 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s DE-604 Queffélec, Hervé Sonstige (DE-588)1150536144 oth Gibbons, Danièle trl Gibbons, Greg trl Erscheint auch als Druck-Ausgabe 9781107160514 Cambridge studies in advanced mathematics 166 (DE-604)BV044781283 166 https://doi.org/10.1017/CBO9781316675762 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Li, Daniel Introduction to Banach spaces, Volume 1 analysis and probability Cambridge studies in advanced mathematics Banach spaces Banach-Raum (DE-588)4004402-6 gnd |
| subject_GND | (DE-588)4004402-6 |
| title | Introduction to Banach spaces, Volume 1 analysis and probability |
| title_alt | Introduction à l’étude des espaces de Banach |
| title_auth | Introduction to Banach spaces, Volume 1 analysis and probability |
| title_exact_search | Introduction to Banach spaces, Volume 1 analysis and probability |
| title_full | Introduction to Banach spaces, Volume 1 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_fullStr | Introduction to Banach spaces, Volume 1 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_full_unstemmed | Introduction to Banach spaces, Volume 1 analysis and probability Daniel Li, Hervé Queffélec ; translated from the French by Danièle Gibbons and Greg Gibbons |
| title_short | Introduction to Banach spaces, Volume 1 |
| title_sort | introduction to banach spaces volume 1 analysis and probability |
| title_sub | analysis and probability |
| topic | Banach spaces Banach-Raum (DE-588)4004402-6 gnd |
| topic_facet | Banach spaces Banach-Raum |
| url | https://doi.org/10.1017/CBO9781316675762 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT lidaniel introductionaletudedesespacesdebanach AT queffelecherve introductionaletudedesespacesdebanach AT gibbonsdaniele introductionaletudedesespacesdebanach AT gibbonsgreg introductionaletudedesespacesdebanach AT lidaniel introductiontobanachspacesvolume1analysisandprobability AT queffelecherve introductiontobanachspacesvolume1analysisandprobability AT gibbonsdaniele introductiontobanachspacesvolume1analysisandprobability AT gibbonsgreg introductiontobanachspacesvolume1analysisandprobability |