Minimal Projections in Banach Spaces: Problems of Existence and Uniqueness and their Application

Włodzimierz Odyniec, Grzegorz Lewicki (auth.)3540531971, 9783540531975, 0387531971

The book is devoted to two natural problems, the existence and unicity of minimal projections in Banach space. Connections are established between the latter and unicity in mathematical programming problems and also with the problem of the characterization of Hilbert spaces. The book also contains a Kolmogorov type criterion for minimal projections and detailed descriptions of the Fourier operators. Presenting both new results and problems for further investigations, this book is addressed to researchers and graduate students interested in geometric functional analysis and to applications.

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Table of contents :
Introduction….Pages 1-17
Problem of uniqueness of minimal projections in Banach spaces….Pages 18-51
Minimal projections onto codimension one subspaces and a related mathematical programming problem….Pages 52-93
Kolmogorov’s type criteria for minimal projections….Pages 94-130
Isometries of Banach spaces and the problem of characterization of Hilbert spaces….Pages 131-152