Minimal Projections in Banach Spaces: Problems of Existence and Uniqueness and their Application (Lecture Notes in Mathematics)

Wlodzimierz Odyniec, Grzegorz Lewicki

ISBN 10: 3540531971 / ISBN 13: 9783540531975

Editore: Springer Berlin Heidelberg 2010-06-02, 2010

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Codice articolo 6666-IUK-9783540531975

Dati bibliografici

• Titolo: Minimal Projections in Banach Spaces: Problems of Existence and Uniqueness and their Application (Lecture Notes in Mathematics)
• Editore: Springer Berlin Heidelberg 2010-06-02
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3540531971
• ISBN 13: 9783540531975
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

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.