Jordan σ-derivations of triangular algebras

We consider the problem of describing the form Jordan -derivations of a triangular algebra . The main result states that every Jordan -derivation of is of the form , where is a -derivation of and is a special mapping of . We search for sufficient conditions on a triangular algebra, such that . In pa...

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 64; no. 2; pp. 143 - 155
Main Author Benkovic, Dominik
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.02.2016
Subjects
Algebra
derivation
Jordan σ-derivation
Mapping
Mathematical analysis
Matrix algebra
Searching
triangular algebra
σ-derivation
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Summary:We consider the problem of describing the form Jordan -derivations of a triangular algebra . The main result states that every Jordan -derivation of is of the form , where is a -derivation of and is a special mapping of . We search for sufficient conditions on a triangular algebra, such that . In particular, any Jordan -derivation of a nest algebra is a -derivation and any Jordan -derivation of an upper triangular matrix algebra , where is a commutative unital algebra, is a -derivation.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2015.1027646