On Derivations of Operator Algebras with Involution

On Derivations of Operator Algebras with Involution

The purpose of this paper is to prove the following result. Let X be a complex Hilbert space, let L(X) be an algebra of all bounded linear operators on X and let A(X) ⊂ L(X) be a standard operator algebra, which is closed under the adjoint operation. Suppose there exists a linear mapping D : A(X) →...

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Bibliographic Details
Main Authors: Širovnik Nejc, Vukman Joso
Format: Article
Language:English
Published: De Gruyter 2014-12-01
Series:Demonstratio Mathematica
Subjects:
and phrases ring
*-ring
prime ring
semiprime ring
Banach space
Hilbert space
standard operator algebra
derivation
Jordan derivation.
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0063/dema-2014-0063.xml?format=INT

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http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0063/dema-2014-0063.xml?format=INT

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