English

Linear maps characterized by special products on standard operator algebras

Rings and Algebras 2019-07-26 v1 Functional Analysis

Abstract

Let A be a unital standard algebra on a complex Banach space X with dimX >1. We characterize the linear maps D; T : A --> B(X) satisfying aT(b) + D(a)b= 0 whenever a,b in A are such that ab = 0.

Keywords

Cite

@article{arxiv.1907.11187,
  title  = {Linear maps characterized by special products on standard operator algebras},
  author = {Amin Barari},
  journal= {arXiv preprint arXiv:1907.11187},
  year   = {2019}
}