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 Nils Waterstraat - arXiv
Fredholm operators are one of the most important classes of linear operators in mathematics. The aim of these notes is an essentially self-contained introduction to the spectral flow for paths of (generally unbounded) selfadjoint Fredholm operators.
by Vladimir V. Kisil - University of Leeds
Contents: Fourier Series; Basics of Linear Spaces; Orthogonality; Fourier Analysis; Duality of Linear Spaces; Operators; Spectral Theory; Compactness; The spectral theorem for compact normal operators; Applications to integral equations; etc.
by Vaughan F. R. Jones - UC Berkeley Mathematics
The purpose of these notes is to provide a rapid introduction to von Neumann algebras which gets to the examples and active topics with a minimum of technical baggage. The philosophy is to lavish attention on a few key results and examples.
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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.