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• W1827566141 abstract "In this paper identities related to derivations and centralizers on operator algebras are considered. We prove the following result which is related to a classical result of Chernoff. Let $X$ be a real or complex Banach space, let $L(X)$ and $F(X)$ be the algebra of all bounded linear operators and the ideal of all finite rank operators on $X$, respectively. Suppose there exist linear mappings $D,G : F(X) to L(X)$ such that $D(A^2) = D(A)A + AG(A)$ and $G(A^2) = G(A)A + AD(A)$ is fulfilled for all $A in F(X)$. In this case there exists $B in L(X)$ such that $D(A) = G(A) = [A,B]$ holds for all $A in F(X)$." @default.
• W1827566141 created "2016-06-24" @default.
• W1827566141 creator A5019105855 @default.
• W1827566141 date "2007-03-01" @default.
• W1827566141 modified "2023-10-05" @default.
• W1827566141 title "IDENTITIES RELATED TO DERIVATIONS AND CENTRALIZERS ON STANDARD OPERATOR ALGEBRAS" @default.
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• W1827566141 doi "https://doi.org/10.11650/twjm/1500404650" @default.
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