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Stereotype Spaces and Algebras

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The term "stereotype space" was introduced in 1995 and is used for a category of locally convex spaces with surprisingly elegant properties. In particular, it consists of spaces reflexive in the sense of Pontryagin, and at the same time it is very wide, since it contains all Fréchet spaces. Its study gives an unexpected point of view on functional analysis that brings this field closer to other main branches of mathematics, namely, to algebra and geometry.

Author(s): Akbarov, Sergei S.
Series: De Gruyter Expositions in Mathematics, 73
Publisher: De Gruyter
Year: 2022

Language: English
Pages: 793
City: Berlin

Contents
Acknowledgments
0 Introduction
1 Categories over sets
2 Categories over categories
3 Locally convex spaces
4 Stereotype spaces
5 Stereotype algebras
Bibliography
Index