Gromov-Hausdorff distance for quantum metric spaces:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2004
|
| Series: | Memoirs of the American Mathematical Society
796 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 168, Number 796 (first of 4 numbers) Includes bibliographical references |
| Physical Description: | VII, 91 S. |
| ISBN: | 0821835181 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV017718105 | ||
| 003 | DE-604 | ||
| 005 | 20250204 | ||
| 007 | t| | ||
| 008 | 031210s2004 xxu |||| 00||| eng d | ||
| 010 | |a 2003066059 | ||
| 020 | |a 0821835181 |9 0-8218-3518-1 | ||
| 035 | |a (OCoLC)53823346 | ||
| 035 | |a (DE-599)BVBBV017718105 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-355 |a DE-91G |a DE-29T |a DE-11 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 050 | 0 | |a QC20.7.D52 | |
| 082 | 0 | |a 516.3/6 |2 22 | |
| 082 | 0 | |a 516.36 | |
| 084 | |a SK 340 |0 (DE-625)143232: |2 rvk | ||
| 084 | |a 53C23 |2 msc | ||
| 084 | |a MAT 530f |2 stub | ||
| 084 | |a 60B10 |2 msc | ||
| 084 | |a MAT 537f |2 stub | ||
| 084 | |a 58B34 |2 msc | ||
| 084 | |a 46L87 |2 msc | ||
| 100 | 1 | |a Rieffel, Marc A. |d 1937- |e Verfasser |0 (DE-588)172661862 |4 aut | |
| 245 | 1 | 0 | |a Gromov-Hausdorff distance for quantum metric spaces |
| 249 | |a Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance |c Marc A. Rieffel | ||
| 264 | 1 | |a Providence, R.I. |b American Mathematical Society |c 2004 | |
| 300 | |a VII, 91 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 796 | |
| 500 | |a Volume 168, Number 796 (first of 4 numbers) | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 7 | |a Análise global |2 larpcal | |
| 650 | 7 | |a Differentiaalmeetkunde |2 gtt | |
| 650 | 7 | |a Geometria diferencial |2 larpcal | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Noncommutative differential geometry | |
| 650 | 0 | 7 | |a Nichtkommutative Differentialgeometrie |0 (DE-588)4311174-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Globale Differentialgeometrie |0 (DE-588)4021286-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtkommutative Differentialgeometrie |0 (DE-588)4311174-9 |D s |
| 689 | 0 | 1 | |a Globale Differentialgeometrie |0 (DE-588)4021286-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | 2 | |a Rieffel, Marc A. |t Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 796 |w (DE-604)BV008000141 |9 796 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010651224&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010651224 | |
Record in the Search Index
| _version_ | 1823139417143902210 |
|---|---|
| adam_text |
M EMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 796
GROMOV-HAUSDORFF DISTANCE FOR QUANTUM METRIC SPACES MATRIX ALGEBRAS
CONVERGE TO THE SPHERE FOR QUANTUM GROMOV-HAUSDORFF DISTANCE MARC A.
RIEFFEL .-JTTEMJJ MARCH 2004 * VOLUME 168 * NUMBER 796 (FIRST OF 4
NUMBERS) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE,
RHODE ISLAND CONTENTS PREFACE VII GROMOV-HAUSDORFF DISTANCE FOR QUANTUM
METRIC SPACES 1 1. INTRODUCTION 3 2. COMPACT QUANTUM METRIC SPACES 6 3.
QUOTIENTS (= "SUBSETS") 8 4. QUANTUM GROMOV-HAUSDORFF DISTANCE 13 5.
BRIDGES 17 6. ISOMETRIES 21 7. DISTANCE ZERO 25 8. ACTIONS OF COMPACT
GROUPS 29 9. QUANTUM TORI 33 10. CONTINUOUS FIELDS OF ORDER-UNIT SPACES
37 11. CONTINUOUS FIELDS OF LIP-NORMS 42 12. COMPLETENESS 44 13. FINITE
APPROXIMATION AND COMPACTNESS 49 APPENDIX 1. AN EXAMPLE WHERE DISTCH
DIST 9 58 APPENDIX 2. DIRAC OPERATORS ARE UNIVERSAL 60 BIBLIOGRAPHY 63
MATRIX ALGEBRAS CONVERGE TO THE SPHERE FOR QUANTUM GROMOV-HAUSDORFF
DISTANCE 67 0. INTRODUCTION 69 1. THE QUANTUM METRIC SPACES 72 2.
CHOOSING THE BRIDGE CONSTANT 7 75 3. COMPACT SEMISIMPLE LIE GROUPS 77 4.
COVARIANT SYMBOLS 81 5. CONTRAVARIANT SYMBOLS 85 6. CONCLUSION OF THE
PROOF OF THEOREM 3.2 87 BIBLIOGRAPHY 89 |
| any_adam_object | 1 |
| author | Rieffel, Marc A. 1937- |
| author2 | Rieffel, Marc A. |
| author2_role | |
| author2_variant | m a r ma mar |
| author_GND | (DE-588)172661862 |
| author_facet | Rieffel, Marc A. 1937- Rieffel, Marc A. |
| author_role | aut |
| author_sort | Rieffel, Marc A. 1937- |
| author_variant | m a r ma mar |
| building | Verbundindex |
| bvnumber | BV017718105 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 QC20.7.D52 |
| callnumber-search | QA3 QC20.7.D52 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 340 |
| classification_tum | MAT 530f MAT 537f |
| ctrlnum | (OCoLC)53823346 (DE-599)BVBBV017718105 |
| dewey-full | 516.3/6 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 516.36 |
| dewey-search | 516.3/6 516.36 |
| dewey-sort | 3516.3 16 |
| 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>00000nam a2200000 cb4500</leader><controlfield tag="001">BV017718105</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20250204</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">031210s2004 xxu |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2003066059</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821835181</subfield><subfield code="9">0-8218-3518-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)53823346</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017718105</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.D52</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/6</subfield><subfield code="2">22</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.36</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 340</subfield><subfield code="0">(DE-625)143232:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53C23</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 530f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">60B10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 537f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">58B34</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46L87</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Rieffel, Marc A.</subfield><subfield code="d">1937-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172661862</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Gromov-Hausdorff distance for quantum metric spaces</subfield></datafield><datafield tag="249" ind1=" " ind2=" "><subfield code="a">Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance</subfield><subfield code="c">Marc A. Rieffel</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, R.I.</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 91 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">Memoirs of the American Mathematical Society</subfield><subfield code="v">796</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 168, Number 796 (first of 4 numbers)</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Análise global</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differentiaalmeetkunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometria diferencial</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global differential geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Noncommutative differential geometry</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtkommutative Differentialgeometrie</subfield><subfield code="0">(DE-588)4311174-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Globale Differentialgeometrie</subfield><subfield code="0">(DE-588)4021286-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtkommutative Differentialgeometrie</subfield><subfield code="0">(DE-588)4311174-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Globale Differentialgeometrie</subfield><subfield code="0">(DE-588)4021286-5</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="2"><subfield code="a">Rieffel, Marc A.</subfield><subfield code="t">Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society</subfield><subfield code="v">796</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">796</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV 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=010651224&sequence=000001&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:BVB01-010651224</subfield></datafield></record></collection> |
| id | DE-604.BV017718105 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-04T15:00:37Z |
| institution | BVB |
| isbn | 0821835181 |
| language | English |
| lccn | 2003066059 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010651224 |
| oclc_num | 53823346 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-11 DE-188 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-11 DE-188 DE-83 |
| physical | VII, 91 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Rieffel, Marc A. 1937- Verfasser (DE-588)172661862 aut Gromov-Hausdorff distance for quantum metric spaces Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance Marc A. Rieffel Providence, R.I. American Mathematical Society 2004 VII, 91 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 796 Volume 168, Number 796 (first of 4 numbers) Includes bibliographical references Análise global larpcal Differentiaalmeetkunde gtt Geometria diferencial larpcal Global differential geometry Noncommutative differential geometry Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd rswk-swf Globale Differentialgeometrie (DE-588)4021286-5 gnd rswk-swf Nichtkommutative Differentialgeometrie (DE-588)4311174-9 s Globale Differentialgeometrie (DE-588)4021286-5 s DE-604 Rieffel, Marc A. Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance Memoirs of the American Mathematical Society 796 (DE-604)BV008000141 796 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010651224&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rieffel, Marc A. 1937- Gromov-Hausdorff distance for quantum metric spaces Memoirs of the American Mathematical Society Análise global larpcal Differentiaalmeetkunde gtt Geometria diferencial larpcal Global differential geometry Noncommutative differential geometry Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd |
| subject_GND | (DE-588)4311174-9 (DE-588)4021286-5 |
| title | Gromov-Hausdorff distance for quantum metric spaces |
| title_alt | Matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance |
| title_auth | Gromov-Hausdorff distance for quantum metric spaces |
| title_exact_search | Gromov-Hausdorff distance for quantum metric spaces |
| title_full | Gromov-Hausdorff distance for quantum metric spaces |
| title_fullStr | Gromov-Hausdorff distance for quantum metric spaces |
| title_full_unstemmed | Gromov-Hausdorff distance for quantum metric spaces |
| title_short | Gromov-Hausdorff distance for quantum metric spaces |
| title_sort | gromov hausdorff distance for quantum metric spaces |
| topic | Análise global larpcal Differentiaalmeetkunde gtt Geometria diferencial larpcal Global differential geometry Noncommutative differential geometry Nichtkommutative Differentialgeometrie (DE-588)4311174-9 gnd Globale Differentialgeometrie (DE-588)4021286-5 gnd |
| topic_facet | Análise global Differentiaalmeetkunde Geometria diferencial Global differential geometry Noncommutative differential geometry Nichtkommutative Differentialgeometrie Globale Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010651224&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT rieffelmarca gromovhausdorffdistanceforquantummetricspaces |