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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the diagonal of an operator


Author: Peng Fan
Journal: Trans. Amer. Math. Soc. 283 (1984), 239-251
MSC: Primary 47A65; Secondary 47Bxx
MathSciNet review: 735419
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Abstract: Characterizations of zero-diagonal operators (i.e., operators that have a diagonal whose entries consist entirely of zeros) and the norm-closure of these operators are obtained. Also included are new characterizations of trace class operators, self-commutators of bounded operators, and others.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0735419-8
PII: S 0002-9947(1984)0735419-8
Keywords: Zero-diagonal operators, trace class operators, self-commutators
Article copyright: © Copyright 1984 American Mathematical Society