## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- Miniconference on Linear Analysis and Functional Spaces. Alan G.R. McIntosh, Alan J. Pryde, eds. Proceedings of the Centre for Mathematical Analysis, v. 9. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1985), 1 - 26

### An introduction to the theory of absolutely p-summing operators between Banach spaces

#### Abstract

These notes constitute the text of a sequence of lectures given at the University of New England, a brief synopsis of which was presented at the Conference on Analysis in Linear Spaces. There is nothing new here in terms of mathematical knowledge; our only hope is that this theory be new to the audience. Readers who like what they sample here will love Professor Gilles Pisier's forthcoming monograph on "Factorization of Operators between Banach Spaces", the present notes are subsummed by the first section of Pisier.

#### Article information

**Dates**

First available in Project Euclid:
18 November 2014

**Permanent link to this document**

https://projecteuclid.org/
euclid.pcma/1416336945

**Mathematical Reviews number (MathSciNet)**

MR825513

**Zentralblatt MATH identifier**

0654.47006

#### Citation

Diestel, Joe. An introduction to the theory of absolutely p-summing operators between Banach spaces. Miniconference on Linear Analysis and Functional Spaces, 1--26, Centre for Mathematical Analysis, The Australian National University, Canberra AUS, 1985. https://projecteuclid.org/euclid.pcma/1416336945