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On centralizers of standard operator algebras with involution

dc.creatorFosner, Maja
dc.creatorMarcen, Benjamin
dc.creatorSirovnik, Nejc
dc.date2013-10-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1298
dc.identifier10.4067/S0719-06462013000300005
dc.descriptionThe purpose of this paper is to prove the following result. Let X be a complex Hilbert space, let L(X) be the algebra of all bounded linear operators on X and let A(X) ⊂ L(X) be a standard operator algebra, which is closed under the adjoint operation. Let T : A(X) → L(X) be a linear mapping satisfying the relation 2T(AA∗A) = T(A)A∗A + AA∗T(A) for all A ∈ A(X). In this case T is of the form T(A) = λA for all A ∈ A(X), where λ is some fixed complex number.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1298/1150
dc.sourceCUBO, A Mathematical Journal; Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal; 45-50en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 15 Núm. 3 (2013): CUBO, A Mathematical Journal; 45-50es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectringen-US
dc.subjectring with involutionen-US
dc.subjectprime ringen-US
dc.subjectsemiprime ringen-US
dc.subjectBanach spaceen-US
dc.subjectHilbert spaceen-US
dc.subjectstandard operator algebraen-US
dc.subjectH∗-algebraen-US
dc.subjectleft (right) centralizeren-US
dc.subjecttwo-sided centralizeren-US
dc.titleOn centralizers of standard operator algebras with involutionen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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