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...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 |
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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.) |
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100 | 1 | |a Akbarov, Sergei S., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Stereotype Spaces and Algebras / |c Sergei S. Akbarov. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2022] | |
264 | 4 | |c ©2022 | |
300 | |a 1 online resource (X, 784 p.) | ||
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490 | 0 | |a De Gruyter Expositions in Mathematics , |x 0938-6572 ; |v 73 | |
505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Acknowledgments -- |t 0 Introduction -- |t 1 Categories over sets -- |t 2 Categories over categories -- |t 3 Locally convex spaces -- |t 4 Stereotype spaces -- |t 5 Stereotype algebras -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |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. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Mai 2023) | |
650 | 4 | |a Algebraische Geometrie. | |
650 | 4 | |a Konvexer Raum. | |
650 | 4 | |a Stereotype Algebra. | |
650 | 7 | |a MATHEMATICS / Algebra / General. |2 bisacsh | |
653 | |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. | ||
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus DeG Package 2022 Part 1 |z 9783110766820 |
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773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2022 English |z 9783110993868 |
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