**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 Spaces**

by

**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.

(

**5887**views)

**Banach Modules and Functors on Categories of Banach Spaces**

by

**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.

(

**6103**views)

**C*-algebraic Methods in Spectral Theory**

by

**Serge Richard**-

**Nagoya University**

From the table of contents: Linear operators on a Hilbert space; C*-algebras; Crossed product C*-algebras; Schroedinger operators and essential spectrum; Twisted crossed product C*-algebras; Pseudodifferential calculus; Magnetic systems.

(

**5683**views)

**Introduction to Functional Analysis**

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.

(

**8526**views)