On the diagonal of an operator-Reference-Cited by-同舟云学术

On the diagonal of an operator

Published:1984 Issue:1 Volume:283 Page:239-251
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Fan Peng

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1984-283-01/S0002-9947-1984-0735419-8/S0002-9947-1984-0735419-8.pdf

Reference11 articles.

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2. Structure of commutators of operators;Brown, Arlen;Ann. of Math. (2),1965

3. Which operators are the self-commutators of compact operators?;Fan, Peng;Proc. Amer. Math. Soc.,1980

4. On similarity and the diagonal of a matrix;Fillmore, P. A.;Amer. Math. Monthly,1969

5. Real parts of quasinilpotent operators;Fillmore, P. A.;Proc. Edinburgh Math. Soc. (2),1979

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