Minimal projections in Banach spaces : problems of existence and uniqueness and their application
著者
書誌事項
Minimal projections in Banach spaces : problems of existence and uniqueness and their application
(Lecture notes in mathematics, 1449)
Springer-Verlag, c1990
- : gw
- : us
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内容説明・目次
内容説明
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.
目次
Problem of uniqueness of minimal projections in Banach spaces.- Minimal projections onto codimension one subspaces and a related mathematical programming problem.- Kolmogorov's type criteria for minimal projections.- Isometries of Banach spaces and the problem of characterization of Hilbert spaces.
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