Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616978 | Journal of Mathematical Analysis and Applications | 2013 | 7 Pages |
Abstract
Let HH be a Hilbert space and B(H)B(H) be the algebra of all bounded linear operators on HH. In this paper we obtain a structure theorem of maps preserving the ∗∗-Jordan-triple zero product on B(H)B(H). Then this is applied to give a full characterization of a surjective map Φ:B(H)→B(H)Φ:B(H)→B(H) satisfying Φ(AB∗A)=Φ(A)Φ(B)∗Φ(A)Φ(AB∗A)=Φ(A)Φ(B)∗Φ(A).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Huishuang Gao,