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
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B. A. Barnes, Lectures on Banach algebras, mimeographed notes, University of Oregon, Eugene, Ore., 1969-70.
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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