Stereotype Spaces and Algebras / / Sergei S. Akbarov.
The term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geo...
Saved in:
| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | De Gruyter Expositions in Mathematics ,
73 |
| Online Access: | |
| Physical Description: | 1 online resource (X, 784 p.) |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
9783110780918 |
|---|---|
| ctrlnum |
(DE-B1597)614051 (OCoLC)1340957214 |
| collection |
bib_alma |
| record_format |
marc |
| spelling |
Akbarov, Sergei S., author. aut http://id.loc.gov/vocabulary/relators/aut Stereotype Spaces and Algebras / Sergei S. Akbarov. Berlin ; Boston : De Gruyter, [2022] ©2022 1 online resource (X, 784 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Expositions in Mathematics , 0938-6572 ; 73 Frontmatter -- Contents -- Acknowledgments -- 0 Introduction -- 1 Categories over sets -- 2 Categories over categories -- 3 Locally convex spaces -- 4 Stereotype spaces -- 5 Stereotype algebras -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) Algebraische Geometrie. Konvexer Raum. Stereotype Algebra. MATHEMATICS / Algebra / General. bisacsh Duality, locally convex space, stereotype space, stereotype algebra, Hopf algebra, group algebra, functional algebra, integration, closed monoidal category, enriched category, Tannaka theorem, approximation property, *-autonomous category. Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 9783110766820 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English 9783110993868 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 9783110770445 ZDB-23-DMA EPUB 9783110780963 print 9783110780864 https://doi.org/10.1515/9783110780918 https://www.degruyter.com/isbn/9783110780918 Cover https://www.degruyter.com/document/cover/isbn/9783110780918/original |
| language |
English |
| format |
eBook |
| author |
Akbarov, Sergei S., Akbarov, Sergei S., |
| spellingShingle |
Akbarov, Sergei S., Akbarov, Sergei S., Stereotype Spaces and Algebras / De Gruyter Expositions in Mathematics , Frontmatter -- Contents -- Acknowledgments -- 0 Introduction -- 1 Categories over sets -- 2 Categories over categories -- 3 Locally convex spaces -- 4 Stereotype spaces -- 5 Stereotype algebras -- Bibliography -- Index |
| author_facet |
Akbarov, Sergei S., Akbarov, Sergei S., |
| author_variant |
s s a ss ssa s s a ss ssa |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Akbarov, Sergei S., |
| title |
Stereotype Spaces and Algebras / |
| title_full |
Stereotype Spaces and Algebras / Sergei S. Akbarov. |
| title_fullStr |
Stereotype Spaces and Algebras / Sergei S. Akbarov. |
| title_full_unstemmed |
Stereotype Spaces and Algebras / Sergei S. Akbarov. |
| title_auth |
Stereotype Spaces and Algebras / |
| title_alt |
Frontmatter -- Contents -- Acknowledgments -- 0 Introduction -- 1 Categories over sets -- 2 Categories over categories -- 3 Locally convex spaces -- 4 Stereotype spaces -- 5 Stereotype algebras -- Bibliography -- Index |
| title_new |
Stereotype Spaces and Algebras / |
| title_sort |
stereotype spaces and algebras / |
| series |
De Gruyter Expositions in Mathematics , |
| series2 |
De Gruyter Expositions in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2022 |
| physical |
1 online resource (X, 784 p.) Issued also in print. |
| contents |
Frontmatter -- Contents -- Acknowledgments -- 0 Introduction -- 1 Categories over sets -- 2 Categories over categories -- 3 Locally convex spaces -- 4 Stereotype spaces -- 5 Stereotype algebras -- Bibliography -- Index |
| isbn |
9783110780918 9783110766820 9783110993899 9783110994810 9783110993868 9783110770445 9783110780963 9783110780864 |
| issn |
0938-6572 ; |
| url |
https://doi.org/10.1515/9783110780918 https://www.degruyter.com/isbn/9783110780918 https://www.degruyter.com/document/cover/isbn/9783110780918/original |
| illustrated |
Not Illustrated |
| doi_str_mv |
10.1515/9783110780918 |
| oclc_num |
1340957214 |
| work_keys_str_mv |
AT akbarovsergeis stereotypespacesandalgebras |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)614051 (OCoLC)1340957214 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 |
| is_hierarchy_title |
Stereotype Spaces and Algebras / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
| _version_ |
1770177810647744512 |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04209nam a22007815i 4500</leader><controlfield tag="001">9783110780918</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230502090707.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230502t20222022gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110780918</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110780918</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)614051</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1340957214</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT002000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Akbarov, Sergei S., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Stereotype Spaces and Algebras /</subfield><subfield code="c">Sergei S. Akbarov.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2022]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2022</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (X, 784 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Expositions in Mathematics ,</subfield><subfield code="x">0938-6572 ;</subfield><subfield code="v">73</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Acknowledgments -- </subfield><subfield code="t">0 Introduction -- </subfield><subfield code="t">1 Categories over sets -- </subfield><subfield code="t">2 Categories over categories -- </subfield><subfield code="t">3 Locally convex spaces -- </subfield><subfield code="t">4 Stereotype spaces -- </subfield><subfield code="t">5 Stereotype algebras -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraische Geometrie.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Konvexer Raum.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stereotype Algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Duality, locally convex space, stereotype space, stereotype algebra, Hopf algebra, group algebra, functional algebra, integration, closed monoidal category, enriched category, Tannaka theorem, approximation property, *-autonomous category.</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Plus DeG Package 2022 Part 1</subfield><subfield code="z">9783110766820</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE 2022 English</subfield><subfield code="z">9783110993899</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE COMPLETE 2022</subfield><subfield code="z">9783110994810</subfield><subfield code="o">ZDB-23-DGG</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE Mathematics 2022 English</subfield><subfield code="z">9783110993868</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">EBOOK PACKAGE Mathematics 2022</subfield><subfield code="z">9783110770445</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110780963</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110780864</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110780918</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110780918</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110780918/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-076682-0 DG Plus DeG Package 2022 Part 1</subfield><subfield code="b">2022</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-099386-8 EBOOK PACKAGE Mathematics 2022 English</subfield><subfield code="b">2022</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-099389-9 EBOOK PACKAGE COMPLETE 2022 English</subfield><subfield code="b">2022</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="b">2022</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2022</subfield></datafield></record></collection> |