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The Quarterly Journal of Mathematics Advance Access published online on July 17, 2008
The Quarterly Journal of Mathematics, doi:10.1093/qmath/han010
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© 2008. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

SUMS OF OPERATOR LOGARITHMS

Stephen Clark{dagger}

The Queen's College, University of Oxford, Oxford OX1 4AW, UK

{dagger} E-mail: stephen.clark{at}queens.oxford.ac.uk

Received 21 September 2007;
  Abstract

Let A and B be a pair of resolvent commuting invertible sectorial operators. We shall show that, under Kalton–Weis-type conditions, the operator log A + log B is closed and equal to log (AB).


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