A perturbation problem for the shift semigroup

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dc.creatorIzumi, Masaki
dc.date2007-02-15
dc.date.accessioned2026-07-07T07:47:04Z
dc.date.available2026-07-07T07:47:04Z
dc.descriptionMotivated by B. Tsirelson's construction of $E_0$-semigroups of type III, we investigate a $C_0$-semigroup acting on the space of square integrable functions of the half line whose difference from the shift semigroup is a Hilbert-Schmidt operator. We give a description of such semigroups in terms of analytic functions on the right-half plane and construct several examples.
dc.identifierhttps://arxiv.org/abs/math/0702439
dc.identifierhttp://arxiv.org/abs/math/0702439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124039
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L55;47D03
dc.titleA perturbation problem for the shift semigroup
dc.typetext

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