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SUMS OF OPERATOR LOGARITHMS
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SUMS OF OPERATOR LOGARITHMS
SUMS OF OPERATOR LOGARITHMS
Author:
SC
Stephen Clark
Stephen Clark
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17 July 2008
journal article
Published by
Oxford University Press (OUP)
in
The Quarterly Journal of Mathematics
Vol. 60
(4)
,
413-427
DOI:
10.1093/qmath/han010
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
).
Keywords
OPERATOR LOGARITHMS
RESOLVENT COMMUTING
COMMUTING INVERTIBLE
INVERTIBLE SECTORIAL
SECTORIAL OPERATORS
OPERATOR LOG
WEIS-TYPE CONDITIONS
SUMS
LOGARITHMS
LOG
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