Functors and Categories of Banach Spaces
by Peter W. Michor
Publisher: Springer 1978
ISBN/ASIN: 3540087648
ISBN-13: 9783540087649
Number of pages: 103
Description:
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 and may easily be characterized among them.
Download or read it online for free here:
Download link
(4.7MB, PDF)
Similar books
Linear Functional Analysisby W W L Chen - Macquarie University
An introduction to the basic ideas in linear functional analysis: metric spaces; connectedness, completeness and compactness; normed vector spaces; inner product spaces; orthogonal expansions; linear functionals; linear transformations; etc.
(17835 views)
Banach Modules and Functors on Categories of Banach Spacesby J. Cigler, V. Losert, P.W. Michor - Marcel Dekker Inc
This book is the final outgrowth of a sequence of seminars about functors on categories of Banach spaces (held 1971 - 1975) and several doctoral dissertations. It has been written for readers with a general background in functional analysis.
(12978 views)
Fredholm Operators and Spectral Flowby 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.
(8967 views)
Notes on Operator Algebrasby G. Jungman - Los Alamos National Laboratory
Lecture notes on operator algebras. From the table of contents: Structure Theory I; von Neumann Algebras; States and Representations; Structure Theory II; Matrices; Automorphism Groups; Extensions; K-Theory; Nuclear C* Algebras.
(12915 views)