Geometry of spheres in normed spaces:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York u.a.
Dekker
1976
|
| Schriftenreihe: | Lecture notes in pure and applied mathematics
20 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002364794&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | VI, 228 S. |
| ISBN: | 0824765540 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV003715140 | ||
| 003 | DE-604 | ||
| 005 | 19921211 | ||
| 007 | t| | ||
| 008 | 900906s1976 xx |||| 00||| eng d | ||
| 020 | |a 0824765540 |9 0-8247-6554-0 | ||
| 035 | |a (OCoLC)2591343 | ||
| 035 | |a (DE-599)BVBBV003715140 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-473 |a DE-703 |a DE-739 |a DE-355 |a DE-824 |a DE-19 |a DE-29T |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA322.2 | |
| 082 | 0 | |a 515/.73 | |
| 084 | |a SK 380 |0 (DE-625)143235: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 084 | |a 46B20 |2 msc | ||
| 100 | 1 | |a Schäffer, Juan J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Geometry of spheres in normed spaces |
| 264 | 1 | |a New York u.a. |b Dekker |c 1976 | |
| 300 | |a VI, 228 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in pure and applied mathematics |v 20 | |
| 650 | 7 | |a Espace L infini |2 Jussieu | |
| 650 | 7 | |a Espace Lindenstrauss |2 Jussieu | |
| 650 | 7 | |a Espace fonction continue |2 Jussieu | |
| 650 | 4 | |a Espaces linéaires normés | |
| 650 | 7 | |a Espaces linéaires normés |2 ram | |
| 650 | 4 | |a Espaces métriques | |
| 650 | 7 | |a Espaces métriques |2 ram | |
| 650 | 7 | |a Géométrie espace normé |2 Jussieu | |
| 650 | 4 | |a Sphère | |
| 650 | 7 | |a Sphère |2 ram | |
| 650 | 4 | |a Metric spaces | |
| 650 | 4 | |a Normed linear spaces | |
| 650 | 4 | |a Sphere | |
| 650 | 0 | 7 | |a Sphärische Geometrie |0 (DE-588)4182228-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Sphäre |0 (DE-588)4182221-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Normierter Raum |0 (DE-588)4127735-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Sphärische Geometrie |0 (DE-588)4182228-6 |D s |
| 689 | 0 | 1 | |a Normierter Raum |0 (DE-588)4127735-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Sphäre |0 (DE-588)4182221-3 |D s |
| 689 | 1 | 1 | |a Normierter Raum |0 (DE-588)4127735-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Lecture notes in pure and applied mathematics |v 20 |w (DE-604)BV005871364 |9 20 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002364794&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-002364794 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 510f 2001 A 30391 0102 MAT 510f 2001 A 30392 |
|---|---|
| DE-BY-TUM_katkey | 498246 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010392591 040020187151 |
| _version_ | 1821936898059272192 |
| adam_text | CONTENTS
1. Introduction 1
2. Normed spaces 5
2n. Notes to Section 2 9
3. Curves 10
4. Two dimensional spaces 14
4a. Appendix to Section 4 21
4n. Notes to Section 4 22
5. The inner metric 24
6. Girth and perimeter 35
6n. Notes to Section 6 40
7. Radius and diameter 41
7n. Notes to Section 7 42
8. Elementary properties of the parameters 43
8a. Appendix to Section 8 48
9. Cylinders and rhombuses 53
9a. Appendix to Section 9 60
9n. Notes to Section 9 65
10. L spaces 67
lOn. Notes to Section 10 80
11. Finite dimensional cubes 81
lln. Notes to Section 11 86
12. Isomorphism classes 87
12n. Notes to Section 12 90
13. The parameters in isomorphism classes 91
13a. Appendix to Section 13 99
13n. Notes to Section 13 101
v
vi CONTENTS
14. Girth and super reflexivity 102
14n. Notes to Section 14 106
15. Miscellaneous results, conjectures, and comments 107
15a. Appendix to Section 15 112
16. Flat spaces 117
16n. Notes to Section 16 127
17. Spaces with girth 4 and their isomorphism classes 129
17n. Notes to Section 17 141
18. Spaces of continuous functions: Introduction 142
19. Spaces of continuous functions: Preliminaries 145
19n. Notes to Section 19 150
20. Flat spots of C (X) 151
21. Flat and non flat spaces C (.K) 158
21n. Notes to Section 21 163
22. Other flat and non flat function spaces 164
22n. Notes to Section 22 171
23 L°° spaces 172
23n. Notes to Section 23 178
24. Spaces of continuous functions: The perimeter 179
25. Spaces of continuous functions: Radius and diameter 182
25n. Notes to Section 25 205
26. Spaces of continuous functions: Summary 206
27. Spaces of continuous functions: Their isomorphism classes 211
27n. Notes to Section 27 215
References 216
Index of names 223
Index of terms 225
Index of symbols 227
|
| any_adam_object | 1 |
| author | Schäffer, Juan J. |
| author_facet | Schäffer, Juan J. |
| author_role | aut |
| author_sort | Schäffer, Juan J. |
| author_variant | j j s jj jjs |
| building | Verbundindex |
| bvnumber | BV003715140 |
| callnumber-first | Q - Science |
| callnumber-label | QA322 |
| callnumber-raw | QA322.2 |
| callnumber-search | QA322.2 |
| callnumber-sort | QA 3322.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 380 SK 600 |
| ctrlnum | (OCoLC)2591343 (DE-599)BVBBV003715140 |
| dewey-full | 515/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.73 |
| dewey-search | 515/.73 |
| dewey-sort | 3515 273 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02273nam a2200613 cb4500</leader><controlfield tag="001">BV003715140</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19921211 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">900906s1976 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0824765540</subfield><subfield code="9">0-8247-6554-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)2591343</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003715140</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA322.2</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.73</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 380</subfield><subfield code="0">(DE-625)143235:</subfield><subfield code="2">rvk</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">46B20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schäffer, Juan J.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometry of spheres in normed spaces</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York u.a.</subfield><subfield code="b">Dekker</subfield><subfield code="c">1976</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 228 S.</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in pure and applied mathematics</subfield><subfield code="v">20</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Espace L infini</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Espace Lindenstrauss</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Espace fonction continue</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Espaces linéaires normés</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Espaces linéaires normés</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Espaces métriques</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Espaces métriques</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géométrie espace normé</subfield><subfield code="2">Jussieu</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sphère</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Sphère</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Metric spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Normed linear spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sphere</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Sphärische Geometrie</subfield><subfield code="0">(DE-588)4182228-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Sphäre</subfield><subfield code="0">(DE-588)4182221-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Normierter Raum</subfield><subfield code="0">(DE-588)4127735-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Sphärische Geometrie</subfield><subfield code="0">(DE-588)4182228-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Normierter Raum</subfield><subfield code="0">(DE-588)4127735-1</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">Sphäre</subfield><subfield code="0">(DE-588)4182221-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Normierter Raum</subfield><subfield code="0">(DE-588)4127735-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in pure and applied mathematics</subfield><subfield code="v">20</subfield><subfield code="w">(DE-604)BV005871364</subfield><subfield code="9">20</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002364794&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002364794</subfield></datafield></record></collection> |
| id | DE-604.BV003715140 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T08:09:05Z |
| institution | BVB |
| isbn | 0824765540 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002364794 |
| oclc_num | 2591343 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-473 DE-BY-UBG DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-29T DE-83 DE-11 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-473 DE-BY-UBG DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-29T DE-83 DE-11 DE-188 |
| physical | VI, 228 S. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Dekker |
| record_format | marc |
| series | Lecture notes in pure and applied mathematics |
| series2 | Lecture notes in pure and applied mathematics |
| spellingShingle | Schäffer, Juan J. Geometry of spheres in normed spaces Lecture notes in pure and applied mathematics Espace L infini Jussieu Espace Lindenstrauss Jussieu Espace fonction continue Jussieu Espaces linéaires normés Espaces linéaires normés ram Espaces métriques Espaces métriques ram Géométrie espace normé Jussieu Sphère Sphère ram Metric spaces Normed linear spaces Sphere Sphärische Geometrie (DE-588)4182228-6 gnd Sphäre (DE-588)4182221-3 gnd Normierter Raum (DE-588)4127735-1 gnd |
| subject_GND | (DE-588)4182228-6 (DE-588)4182221-3 (DE-588)4127735-1 |
| title | Geometry of spheres in normed spaces |
| title_auth | Geometry of spheres in normed spaces |
| title_exact_search | Geometry of spheres in normed spaces |
| title_full | Geometry of spheres in normed spaces |
| title_fullStr | Geometry of spheres in normed spaces |
| title_full_unstemmed | Geometry of spheres in normed spaces |
| title_short | Geometry of spheres in normed spaces |
| title_sort | geometry of spheres in normed spaces |
| topic | Espace L infini Jussieu Espace Lindenstrauss Jussieu Espace fonction continue Jussieu Espaces linéaires normés Espaces linéaires normés ram Espaces métriques Espaces métriques ram Géométrie espace normé Jussieu Sphère Sphère ram Metric spaces Normed linear spaces Sphere Sphärische Geometrie (DE-588)4182228-6 gnd Sphäre (DE-588)4182221-3 gnd Normierter Raum (DE-588)4127735-1 gnd |
| topic_facet | Espace L infini Espace Lindenstrauss Espace fonction continue Espaces linéaires normés Espaces métriques Géométrie espace normé Sphère Metric spaces Normed linear spaces Sphere Sphärische Geometrie Sphäre Normierter Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002364794&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005871364 |
| work_keys_str_mv | AT schafferjuanj geometryofspheresinnormedspaces |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 510f 2001 A 30391 Lageplan 0102 MAT 510f 2001 A 30392 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
| Exemplar 2 | Ausleihbar Am Standort |