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1.
A note on local automorphisms
Ajda Fošner, 2006, izvirni znanstveni članek

Opis: Let ▫$H$▫ be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of ▫$mathscr{B}(H)$▫, the algebra of all bounded linear operators on a Hilbert space ▫$H$▫, is an automorphism.
Ključne besede: mathematics, operator theory, automorphism, local automorphism, algebra of operators on a Hilbert space
Objavljeno: 07.06.2012; Ogledov: 723; Prenosov: 53
URL Povezava na celotno besedilo

2.
On certain functional equation arising from (m, n)-Jordan centralizers in prime rings
Nina Peršin, Joso Vukman, 2012, izvirni znanstveni članek

Opis: The purpose of this paper is to prove the following result. Let ▫$m ge 1$▫, ▫$n ge 1$▫ be some fixed integers and let ▫$R$▫ be a prime ring with ▫$text{char}(R)= 0$▫ or ▫$(m+n)^2 < text{char}(R)$▫. Suppose there exists an additive mapping ▫$T colon R to R$▫ satisfying the relation ▫$2(m+n)^2T(x^3) = m(2m+n)T(x)x^2 + 2mnxT(x)x + n(2n+m)x^2T(x)$▫ for all ▫$x in R$▫. In this case ▫$T$▫ is a two-sided centralizer.
Ključne besede: matematika, algebra, kolobar, prakolobar, polprakolobar, Banachov prostor, Hilbertov prostor, algebra vseh omejenih linearnih operatorjev, standardna operatorska algebra, odvajanje, jordansko odvajanje, centralizator, algebra, ring, prime ring, semiprime ring, Banach space, Hilbert space, algebra of all bounded linear operators, standard operator algebra, derivation, Jordan derivation, left (right) centralizer, two-sided centralizer, left (right) Jordan centralizer, (m, n)-Jordan centralizer
Objavljeno: 10.07.2015; Ogledov: 428; Prenosov: 67
URL Povezava na celotno besedilo

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