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VOL. 24 | 1990 Remarks on non-communative interpolation
Peter G. Dodds, Theresa K.-Y. Dodds

Editor(s) Ian Doust, Brian Jefferies, Alan McIntosh

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.

Information

Published: 1 January 1990
First available in Project Euclid: 18 November 2014

zbMATH: 0714.46046
MathSciNet: MR1060111

Rights: Copyright © 1990, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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