منابع مشابه
Innerness of ρ-derivations on Hyperfinite Von Neumann Algebras
Suppose that M,N are von Neumann algebras acting on a Hilbert space and M is hyperfinite. Let ρ : M → N be an ultraweakly continuous ∗-homomorphism and let δ : M → N be a ∗-ρ-derivation such that δ(I) commutes with ρ(I). We prove that there is an element U in N with ‖U‖ ≤ ‖δ‖ such that δ(A) = Uρ(A)− ρ(A)U for all A ∈ M. c © Electronic Journal of Theoretical Physics. All rights reserved.
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Let be a Banach algebra. Let be linear mappings on . First we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some ...
متن کاملLie-type higher derivations on operator algebras
Motivated by the intensive and powerful works concerning additive mappings of operator algebras, we mainly study Lie-type higher derivations on operator algebras in the current work. It is shown that every Lie (triple-)higher derivation on some classical operator algebras is of standard form. The definition of Lie $n$-higher derivations on operator algebras and related pot...
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ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2010
ISSN: 1735-8787
DOI: 10.15352/bjma/1297117246