Banach Modules and Functors on Categories of Banach Spaces
by J. Cigler, V. Losert, P.W. Michor
Publisher: Marcel Dekker Inc 1979
Number of pages: 297
This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held in the years 1971 - 1975) and several doctoral dissertations. It has been written for readers with a general background in functional analysis.
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by Peter W. Michor - Springer
The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.
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Notes from a course which covered themes in functional analysis and operator theory, with an emphasis on topics of special relevance to such applications as representation theory, harmonic analysis, mathematical physics, and stochastic integration.
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