Characterizing Derivations on Von Neumann Algebras by Local Actions
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-29
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Let ℳ be any von Neumann algebra without central summands of type I1 and P a core-free projection with the central carrier I.
For any scalar ξ, it is shown that every additive map L on ℳ satisfies L(AB-ξBA)=L(A)B-ξBL(A)+AL(B)-ξL(B)A whenever AB=P if and only if (1) ξ=1, L=φ+h, where φ is an additive derivation and h is a central valued additive map vanishing on AB-BA with AB=P; (2) ξ≠1, L is a derivation with L(ξA)=ξL(A) for each A∈ℳ.
American Psychological Association (APA)
Qi, Xiaofei& Ji, Jia. 2013. Characterizing Derivations on Von Neumann Algebras by Local Actions. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-469683
Modern Language Association (MLA)
Qi, Xiaofei& Ji, Jia. Characterizing Derivations on Von Neumann Algebras by Local Actions. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-469683
American Medical Association (AMA)
Qi, Xiaofei& Ji, Jia. Characterizing Derivations on Von Neumann Algebras by Local Actions. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-469683
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469683