The volume of convex bodies and Banach space geometry:
This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probabilit...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1989
|
| Schriftenreihe: | Cambridge tracts in mathematics
94 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511662454 https://doi.org/10.1017/CBO9780511662454 https://doi.org/10.1017/CBO9780511662454 https://doi.org/10.1017/CBO9780511662454 |
| Zusammenfassung: | This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas |
| Umfang: | 1 Online-Ressource (xv, 250 Seiten) |
| ISBN: | 9780511662454 |
| DOI: | 10.1017/CBO9780511662454 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043941914 | ||
| 003 | DE-604 | ||
| 005 | 20190429 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s1989 xx o|||| 00||| eng d | ||
| 020 | |a 9780511662454 |c Online |9 978-0-511-66245-4 | ||
| 024 | 7 | |a 10.1017/CBO9780511662454 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9780511662454 | ||
| 035 | |a (OCoLC)849795864 | ||
| 035 | |a (DE-599)BVBBV043941914 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 |a DE-355 | ||
| 082 | 0 | |a 515.7/32 |2 19eng | |
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 100 | 1 | |a Pisier, Gilles |d 1950- |e Verfasser |0 (DE-588)113782268 |4 aut | |
| 245 | 1 | 0 | |a The volume of convex bodies and Banach space geometry |c Gilles Pisier |
| 246 | 1 | 3 | |a The Volume of Convex Bodies & Banach Space Geometry |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1989 | |
| 300 | |a 1 Online-Ressource (xv, 250 Seiten) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Cambridge tracts in mathematics |v 94 | |
| 520 | |a This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas | ||
| 650 | 4 | |a Banach spaces | |
| 650 | 4 | |a Inequalities (Mathematics) | |
| 650 | 0 | 7 | |a Konvexer Körper |0 (DE-588)4165214-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ungleichung |0 (DE-588)4139098-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Raum |0 (DE-588)4004402-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Volumen |0 (DE-588)4136953-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 0 | 1 | |a Ungleichung |0 (DE-588)4139098-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 1 | 1 | |a Konvexer Körper |0 (DE-588)4165214-9 |D s |
| 689 | 1 | 2 | |a Volumen |0 (DE-588)4136953-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Konvexer Körper |0 (DE-588)4165214-9 |D s |
| 689 | 2 | 1 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
| 689 | 2 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-36465-2 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 978-0-521-66635-0 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511662454 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-029350884 | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511662454 |l DE-12 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511662454 |l DE-92 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9780511662454 |l DE-355 |p ZDB-20-CBO |q UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1818982568818638848 |
|---|---|
| any_adam_object | |
| author | Pisier, Gilles 1950- |
| author_GND | (DE-588)113782268 |
| author_facet | Pisier, Gilles 1950- |
| author_role | aut |
| author_sort | Pisier, Gilles 1950- |
| author_variant | g p gp |
| building | Verbundindex |
| bvnumber | BV043941914 |
| classification_rvk | SK 600 SK 370 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511662454 (OCoLC)849795864 (DE-599)BVBBV043941914 |
| dewey-full | 515.7/32 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/32 |
| dewey-search | 515.7/32 |
| dewey-sort | 3515.7 232 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511662454 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03339nam a2200625zcb4500</leader><controlfield tag="001">BV043941914</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20190429 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1989 xx o|||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511662454</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-66245-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511662454</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511662454</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)849795864</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043941914</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-12</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7/32</subfield><subfield code="2">19eng</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="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Pisier, Gilles</subfield><subfield code="d">1950-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113782268</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The volume of convex bodies and Banach space geometry</subfield><subfield code="c">Gilles Pisier</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">The Volume of Convex Bodies & Banach Space Geometry</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (xv, 250 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="0" ind2=" "><subfield code="a">Cambridge tracts in mathematics</subfield><subfield code="v">94</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inequalities (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexer Körper</subfield><subfield code="0">(DE-588)4165214-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ungleichung</subfield><subfield code="0">(DE-588)4139098-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</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="650" ind1="0" ind2="7"><subfield code="a">Volumen</subfield><subfield code="0">(DE-588)4136953-1</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="1"><subfield code="a">Ungleichung</subfield><subfield code="0">(DE-588)4139098-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" 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="1" ind2="1"><subfield code="a">Konvexer Körper</subfield><subfield code="0">(DE-588)4165214-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Volumen</subfield><subfield code="0">(DE-588)4136953-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Konvexer Körper</subfield><subfield code="0">(DE-588)4165214-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Banach-Raum</subfield><subfield code="0">(DE-588)4004402-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</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">978-0-521-36465-2</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">978-0-521-66635-0</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511662454</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:BVB01-029350884</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511662454</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/CBO9780511662454</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/CBO9780511662454</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.BV043941914 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:49:17Z |
| institution | BVB |
| isbn | 9780511662454 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350884 |
| oclc_num | 849795864 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xv, 250 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 | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Pisier, Gilles 1950- Verfasser (DE-588)113782268 aut The volume of convex bodies and Banach space geometry Gilles Pisier The Volume of Convex Bodies & Banach Space Geometry Cambridge Cambridge University Press 1989 1 Online-Ressource (xv, 250 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 94 This book aims to give a self-contained presentation of a number of results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas Banach spaces Inequalities (Mathematics) Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Volumen (DE-588)4136953-1 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Ungleichung (DE-588)4139098-2 s DE-604 Konvexer Körper (DE-588)4165214-9 s Volumen (DE-588)4136953-1 s Erscheint auch als Druck-Ausgabe 978-0-521-36465-2 Erscheint auch als Druck-Ausgabe 978-0-521-66635-0 https://doi.org/10.1017/CBO9780511662454 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Pisier, Gilles 1950- The volume of convex bodies and Banach space geometry Banach spaces Inequalities (Mathematics) Konvexer Körper (DE-588)4165214-9 gnd Ungleichung (DE-588)4139098-2 gnd Banach-Raum (DE-588)4004402-6 gnd Volumen (DE-588)4136953-1 gnd |
| subject_GND | (DE-588)4165214-9 (DE-588)4139098-2 (DE-588)4004402-6 (DE-588)4136953-1 |
| title | The volume of convex bodies and Banach space geometry |
| title_alt | The Volume of Convex Bodies & Banach Space Geometry |
| title_auth | The volume of convex bodies and Banach space geometry |
| title_exact_search | The volume of convex bodies and Banach space geometry |
| title_full | The volume of convex bodies and Banach space geometry Gilles Pisier |
| title_fullStr | The volume of convex bodies and Banach space geometry Gilles Pisier |
| title_full_unstemmed | The volume of convex bodies and Banach space geometry Gilles Pisier |
| title_short | The volume of convex bodies and Banach space geometry |
| title_sort | the volume of convex bodies and banach space geometry |
| topic | Banach spaces Inequalities (Mathematics) Konvexer Körper (DE-588)4165214-9 gnd Ungleichung (DE-588)4139098-2 gnd Banach-Raum (DE-588)4004402-6 gnd Volumen (DE-588)4136953-1 gnd |
| topic_facet | Banach spaces Inequalities (Mathematics) Konvexer Körper Ungleichung Banach-Raum Volumen |
| url | https://doi.org/10.1017/CBO9780511662454 |
| work_keys_str_mv | AT pisiergilles thevolumeofconvexbodiesandbanachspacegeometry AT pisiergilles thevolumeofconvexbodiesbanachspacegeometry |