On the diagonal of an operator

Fan, Peng

doi:10.1090/S0002-9947-1984-0735419-8

On the diagonal of an operator
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by Peng Fan

Trans. Amer. Math. Soc. 283 (1984), 239-251

DOI: https://doi.org/10.1090/S0002-9947-1984-0735419-8

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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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