Triangularizable algebras of compact operators

Murphy, G. J.

doi:10.1090/S0002-9939-1982-0640229-X

Triangularizable algebras of compact operators
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by G. J. Murphy

Proc. Amer. Math. Soc. 84 (1982), 354-356

DOI: https://doi.org/10.1090/S0002-9939-1982-0640229-X

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Abstract:

It is shown that a closed algebra $A$ of compact operators is triangularizable if and only if the algebra $A/\operatorname {rad} (A)$ is commutative.

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