Stereotype Spaces and Algebras / Sergei S. Akbarov

By:

Akbarov, Sergej S, 1961- [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: De Gruyter expositions in mathematics ; 73Publisher: Berlin ; Boston : De Gruyter, [2022]Copyright date: ©2022Description: 1 Online-Ressource (X, 784 p.)ISBN:

9783110780918

Subject(s):

MATHEMATICS / Algebra / General
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

Additional physical formats: 9783110780963. | 9783110780864. | Erscheint auch als: 9783110780864 printDOI: DOI: 10.1515/9783110780918Online resources:

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Additional physical formats: 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

Summary: 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 geometryPPN: PPN: 1816939048Package identifier: Produktsigel: EBA-CL-MTPY | EBA-DGALL | EBA-EBKALL | EBA-ECL-MTPY | EBA-EEBKALL | EBA-ESTMALL | EBA-STMALL | GBV-deGruyter-alles | ZDB-23-DGG | ZDB-23-DMA

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Issued also in print

In English