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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Reductive algebras of compact operators
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by Robert A. Bekes PDF
Proc. Amer. Math. Soc. 48 (1975), 365-370 Request permission

Abstract:

A closed subalgebra $\mathfrak {A}$ of the bounded operators on a Hilbert space is called reductive if every closed invariant subspace for $\mathfrak {A}$ is reducing for $\mathfrak {A}$. We show that every reductive subalgebra of the compact operators is selfadjoint.
References
Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 48 (1975), 365-370
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0358381-9
  • MathSciNet review: 0358381