Characterizing Derivations on Von Neumann Algebras by Local Actions

Joint Authors

Qi, Xiaofei
Ji, Jia

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

Mathematics

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