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VOL. 42 | 2007 Commutator estimates in the operator $L^p$-spaces
Denis Potapov, Fyodor Sukochev

Editor(s) Alan McIntosh, Pierre Portal

Abstract

We consider commutator estimates in non-commutative (operator) $L^p$-spaces associated with general semi-finite von Neumann algebra. We discuss the difficulties which appear when one considers commutators with an unbounded operator in non-commutative $L^p$-spaces with $p \neq \infty$. We explain those difficulties using the example of the classical differentiation operator.

Information

Published: 1 January 2007
First available in Project Euclid: 18 November 2014

zbMATH: 1165.46031
MathSciNet: MR2328516

Rights: Copyright © 2007, 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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