On the modulus of C. J. Read's operator

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dc.creatorTroitsky, Vladimir G.
dc.date1998-05-27
dc.date.accessioned2026-07-07T05:24:52Z
dc.date.available2026-07-07T05:24:52Z
dc.descriptionLet T be the quasinilpotent operator on ell_1 without an invariant subspace constructed by C. J. Read in [R3]. We prove that the modulus of this operator has an invariant subspace (and even an eigenvector). This answers a question posed by Y. Abramovich, C. Aliprantis and O. Burkinshaw in [AAB1,AAB3]
dc.description8 pages, LaTeX2e, to appear in Positivity
dc.identifierhttps://arxiv.org/abs/math/9805124
dc.identifierhttp://arxiv.org/abs/math/9805124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76970
dc.subjectFunctional Analysis
dc.subject47A15, 47B60, 47B65
dc.titleOn the modulus of C. J. Read's operator
dc.typetext

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