A note on transitive localizing algebras

Lacruz, Miguel

doi:10.1090/S0002-9939-09-09924-9

A note on transitive localizing algebras
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by Miguel Lacruz PDF

Proc. Amer. Math. Soc. 137 (2009), 3421-3423 Request permission

Abstract:

A simple proof is provided for a theorem of Troitsky that every nonzero quasinilpotent operator on a Banach space whose commutant is a localizing algebra has a nontrivial hyperinvariant subspace.

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