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Kýthe-Bochner Function Spaces (Progress in Mathematics)
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ISBN
:
9780817635213
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Publisher
:
Birkhýuser
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Subject
:
Mathematics
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Binding
:
HARDCOVER
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Pages
:
384
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Year
:
2003
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11941.0
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11463.0
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Description
This monograph is devoted to the study of KxF6;thex2013;Bochner function spaces, an active area of research at the intersection of Banach space theory, harmonic analysis, probability, and operator theory. A number of significant results---many scattered throughout the literature---are distilled and presented here, giving readers a comprehensive view of the subject from its,origins in functional analysis to its connections to other disciplines. Considerable background material is provided, and the theory of KxF6;thex2013;Bochner spaces is rigorously developed,,with a particular focus on open problems., Extensive historical information, references, and questions for further study are included; instructive examples and many exercises are incorporated throughout. Both expansive and precise, this bookx2019;s unique approach and systematic organization will appeal to advanced graduate students and researchers in functional analysis, probability, operator theory, and related fields.
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