**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

**Hilbert Spaces and Operators on Hilbert Spaces**

by

**Leif Mejlbro**-

**BookBoon**

Functional analysis examples. From the table of contents: Hilbert spaces; Fourier series; Construction of Hilbert spaces; Orthogonal projections and complements; Weak convergence; Operators on Hilbert spaces, general; Closed operations.

(

**11935**views)

**Lectures on Cyclic Homology**

by

**D. Husemoller**-

**Tata Institute of Fundamental Research**

Contents: Exact Couples and the Connes Exact Couple; Abelianization and Hochschild Homology; Cyclic Homology and the Connes Exact Couple; Cyclic Homology and Lie Algebra Homology; Mixed Complexes, the Connes Operator B; and more.

(

**8835**views)

**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.

(

**10295**views)

**Nonlinear Functional Analysis**

by

**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.

(

**14205**views)