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Cubo (Temuco)

versión On-line ISSN 0719-0646


FOšNER, Maja; MARCEN, Benjamin  y  ŠIROVNIK, Nejc. On centralizers of standard operator algebras with involution. Cubo [online]. 2013, vol.15, n.3, pp.45-50. ISSN 0719-0646.

The purpose of this paper is to prove the following result. Let be a complex Hilbert space, let () be the algebra of all bounded linear operators on and let () () be a standard operator algebra, which is closed under the adjoint operation. Let : () () be a linear mapping satisfying the relation 2(*) = ()* + *() for all (). In this case is of the form () = λ for all (), where λ is some fixed complex number.

Palabras clave : ring; ring with involution; prime ring; semiprime ring; Banach space; Hilbert space; standard operator algebra; H*-algebra; left (right) centralizer; two-sided centralizer.

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