c-numerical range of operator products on B(H)
Functional Analysis
2019-01-17 v1
Abstract
Let H be a complex Hilbert space of dimension no less than 2 and B(H) be the algebra of all bounded linear operators on H. We give the form of surjective maps on B(H) preserving c-numerical range of operator products when the maps satisfy preserving weak zero products. As a result, we obtain the characterization of surjective maps on Mn(C) preserving c-numerical range of operator products. The proof of the results depends on some propositions of operators in B(H), which are of different interest.
Keywords
Cite
@article{arxiv.1901.05245,
title = {c-numerical range of operator products on B(H)},
author = {Yanfang Zhang and Xiaochun Fang},
journal= {arXiv preprint arXiv:1901.05245},
year = {2019}
}
Comments
15 pages