Methods In The Theory Of Hereditarily Indecomposable Banach Spaces

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Methods in the Theory of Hereditarily Indecomposable Banach Spaces

Author: Spiros Argyros
language: en
Publisher: American Mathematical Soc.
Release Date: 2004
A general method producing Hereditarily Indecomposable (H I) Banach spaces is provided. We apply this method to construct a nonseparable H I Banach space $Y$. This space is the dual, as well as the second dual, of a separable H I Banach space.
Methods in Banach Space Theory

Author: Jesus M. F. Castillo
language: en
Publisher: Cambridge University Press
Release Date: 2006-11-30
A comprehensive overview of modern Banach space theory.
Homological Methods in Banach Space Theory

Author: Félix Cabello Sánchez
language: en
Publisher: Cambridge University Press
Release Date: 2023-01-26
Approaches Banach space theory using methods from homological algebra, with concrete examples and proofs of many new and classical results.