On Derivations of Operator Algebras with Involution
Abstract: 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) → L (X) satisfying the relation 2D (AA*A) = D (AA*) A + AA*D (A) + D (A) A*A + AD (A*A) for all A ∈ A (X). In this case, D is of the form D (A) = [A,B] for all A ∈ A (X) and some fixed B ∈ L (X), which means that D is a derivation.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On Derivations of Operator Algebras with Involution ; volume:47 ; number:4 ; year:2014 ; pages:784-790 ; extent:7
Demonstratio mathematica ; 47, Heft 4 (2014), 784-790 (gesamt 7)
- Creator
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Širovnik, Nejc
Vukman, Joso
- DOI
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10.2478/dema-2014-0063
- URN
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urn:nbn:de:101:1-2411181538179.686881031218
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:21 AM CEST
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Associated
- Širovnik, Nejc
- Vukman, Joso
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