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Maps preserving strong 2-Jordan product on some algebras
- Source :
- Asian-European Journal of Mathematics. 10:1750044
- Publication Year :
- 2017
- Publisher :
- World Scientific Pub Co Pte Ltd, 2017.
-
Abstract
- Let [Formula: see text] be a surjective map between some operator algebras such that [Formula: see text] for all [Formula: see text], where [Formula: see text] defined by [Formula: see text] and [Formula: see text] is Jordan product, i.e. [Formula: see text]. In this paper, we determine the concrete form of map [Formula: see text] on some operator algebras. Such operator algebras include standard operator algebras, properly infinite von Neumann algebras and nest algebras. Particularly, if [Formula: see text] is a factor von Neumann algebra that satisfies [Formula: see text] for all [Formula: see text] and idempotents [Formula: see text] then there exists nonzero scalar [Formula: see text] with [Formula: see text] such that [Formula: see text] for all [Formula: see text]
- Subjects :
- Discrete mathematics
Pure mathematics
Jordan algebra
Computer Science::Information Retrieval
General Mathematics
010102 general mathematics
Scalar (mathematics)
Astrophysics::Instrumentation and Methods for Astrophysics
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
010103 numerical & computational mathematics
01 natural sciences
Surjective function
symbols.namesake
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Von Neumann algebra
Operator algebra
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
symbols
Computer Science::General Literature
Nest algebra
0101 mathematics
ComputingMilieux_MISCELLANEOUS
Mathematics
Subjects
Details
- ISSN :
- 17937183 and 17935571
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Asian-European Journal of Mathematics
- Accession number :
- edsair.doi...........8a810eb0af62500c3e22605b904d3c05