Classification of Banach Spaces --its Topological and Cardinality Properties

Details Classification of Banach Spaces --its Topological and Cardinality Properties Classification of Banach Spaces --its Topological and Cardinality Properties

2002-11-19

arxiv.org/abs/math/0211298v1

Mathematics

Functional Analysis

Latex2e

Scientific paper

Classes of Banach spaces that are finitely, strongly finitely or elementary
equivalent are introduced. On sets of these classes topologies are defined in
such a way that sets of defined classes become compact totally disconnected
topological spaces. Results are used in the problem of synthesis of Banach
spaces, and to describe omittable spaces that are defined below.

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