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
Basic Analysis Gently Done: Topological Vector Spacesby Ivan F. Wilde - King's College, London
These notes are based on lectures given as part of a mathematics MSc program. The approach here is to discuss topological vector spaces - with normed spaces considered as special cases. Contents: Topological Spaces; Nets; Product Spaces; etc.
(10890 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.
(10908 views)
Spectral Theoryby Leif Mejlbro - BookBoon
Spectral Theory - Functional Analysis Examples. Contents: Spectrum and resolvent; The adjoint of a bounded operator; Self adjoint operator; Isometric operators; Unitary and normal operators; Positive operators and projections; Compact operators.
(13565 views)
Nonlinear Functional Analysisby Gerald Teschl - University of Vienna
This manuscript provides a brief introduction to nonlinear functional analysis. As an application we consider partial differential equations and prove existence and uniqueness for solutions of the stationary Navier-Stokes equation.
(14788 views)