Stereotype Spaces and Algebras

Sergei S. Akbarov

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De Gruyter img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

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.

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Schlagwörter

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