Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On compact operators in the weak closure of the range of a derivation
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by Hong W. Kim
Proc. Amer. Math. Soc. 40 (1973), 482-486
DOI: https://doi.org/10.1090/S0002-9939-1973-0318956-8

Abstract:

It is shown that if $K$ is a compact operator which commutes with a bounded operator $A$ on a Hilbert space $H$ and if $K$ is contained in the weak closure of the range of the derivation induced by $A$, then $K$ is quasinilpotent.
References
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 40 (1973), 482-486
  • MSC: Primary 47B47; Secondary 46L10
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0318956-8
  • MathSciNet review: 0318956