Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897989 | Linear Algebra and its Applications | 2018 | 21 Pages |
Abstract
Let S be a subset of the algebra L(H) of all bounded linear operators on an infinite-dimensional complex Hilbert space H, and let f:Sâ[0,â) be a radial unitary similarity invariant function. Under some assumption on S and f, characterizations are obtained for surjective maps Ï on S satisfyingf(Ï(T)âÏ(S))=f(TâS)(T,SâS), where the binary operation â stands for the product or the Jordan semi-triple product on operators. Analogous descriptions are obtained for the finite-dimensional case, without the surjectivity assumption on Ï.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Bendaoud, A. Benyouness, M. Sarih, S. Sekkat,