| Title: | On derivations of operator algebras with involution |
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| Authors: | ID Širovnik, Nejc (Author)
ID Vukman, Joso (Author) |
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| Files: |  Demonstratio_Mathematica_2014_Sirovnik,_Vukman_On_Derivations_of_Operator_Algebras_with_Involution.pdf (343,43 KB)
MD5: F4FCDEDA877E30E279D79F4F9C0F38D4
 http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0063/dema-2014-0063.xml
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| 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. |
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| Keywords: | mathematics, prime rings, semiprime rings, derivation, Jordan derivation, Banach space |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Article acceptance date: | 01.03.2013 |
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| Publisher: | De Gruyter |
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| Year of publishing: | 2014 |
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| Number of pages: | Str. 784-790 |
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| Numbering: | Letn. 47, št. 4 |
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| PID: | 20.500.12556/DKUM-65330  |
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| ISSN: | 0420-1213 |
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| UDC: | 512.55 |
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| ISSN on article: | 0420-1213 |
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| COBISS.SI-ID: | 20972040 |
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| NUK URN: | URN:SI:UM:DK:YRJ3WIVI |
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| Publication date in DKUM: | 31.03.2017 |
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| Views: | 1392 |
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| Downloads: | 372 |
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| Metadata: |    |
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| Categories: | Misc.
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