## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- Miniconference on Operators in Analysis. Ian Doust, Brian Jefferies, Chun Li, and Alan McIntosh, eds. Proceedings of the Centre for Mathematical Analysis, v. 24. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1990), 58 - 78

### Remarks on non-communative interpolation

Peter G. Dodds and Theresa K.-Y. Dodds

#### Abstract

We discuss a non-commutative extension of a well-known result of Calderon characterizing interpolation spaces for the couple $(L^1, L^{\infty})$. The characterization is given in terms of the generalized singular value functions (or decreasing rearrangement) of measurable operators affiliated with a semi-finite von Neumann algebra.

#### Article information

**Dates**

First available in Project Euclid:
18 November 2014

**Permanent link to this document**

https://projecteuclid.org/
euclid.pcma/1416335060

**Mathematical Reviews number (MathSciNet)**

MR1060111

**Zentralblatt MATH identifier**

0714.46046

#### Citation

Dodds, Peter G.; Dodds, Theresa K.-Y. Remarks on non-communative interpolation. Miniconference on Operators in Analysis, 58--78, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1990. https://projecteuclid.org/euclid.pcma/1416335060