Sergei S. Akbarov Akbarov Stereotype Spaces and Algebras

Stereotype Spaces and Algebras

von Sergei S. Akbarov

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Beschreibung

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.


Autor*in

Sergei S. Akbarov

Themen in »Stereotype Spaces and Algebras«

Algebraische Geometrie Stereotype Algebra Konvexer Raum Duality locally convex space stereotype space stereotype algebra Hopf algebra group algebra functional algebra integration closed monoidal category enriched category Tannaka theorem approximation property

Stimmen zu »Stereotype Spaces and Algebras«

Details

ISBN: 9783110780918
Verlag: De Gruyter
Erscheinung: 22.08.2022

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