Operators 𝛼-commuting with a compact operator

Lauric, Vasile

doi:10.1090/S0002-9939-97-03965-8

Operators $\alpha$-commuting with a compact operator
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Proc. Amer. Math. Soc. 125 (1997), 2379-2384 Request permission

Abstract:

In this note we update a question raised by Pearcy and Shields (’74) concerning the invariant subspace problem on Hilbert spaces.

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