Geodesic
Operators preserving ideals in C*-algebras
Studia Mathematica, Tome 109 (1994) no. 1, pp. 67-72 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The aim of this paper is to prove that derivations of a C*-algebra A can be characterized in the space of all linear continuous operators T : A → A by the conditions T(1) = 0, T(L∩R) ⊂ L + R for any closed left ideal L and right ideal R. As a corollary we get an extension of the result of Kadison [5] on local derivations in W*-algebras. Stronger results of this kind are proved under some additional conditions on the cohomologies of A.
DOI : 10.4064/sm-109-1-67-72
Keywords: C*-algebra, derivation, reflexivity 
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V. S. Shul'Man. Operators preserving ideals in C*-algebras. Studia Mathematica, Tome 109 (1994) no. 1, pp. 67-72. doi: 10.4064/sm-109-1-67-72

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