A characterization of an isomorphism-Reference-Cited by-同舟云学术

A characterization of an isomorphism

Published:2018-03-19 Issue:02 Volume:11 Page:1850022
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Taghavi Ali¹,Hosseinzadeh Roja¹,Nasrollahi Efat¹

Affiliation:

1. Faculty of Mathematical Sciences, Department of Mathematics, University of Mazandaran, P. O. Box 47416-146, Babolsar, Iran

Abstract

Let [Formula: see text] and [Formula: see text] be some standard operator algebras on complex Banach spaces [Formula: see text] and [Formula: see text], respectively, and [Formula: see text] be a polynomial with no repeated roots and [Formula: see text], such that [Formula: see text]. We characterize the forms of surjective linear maps [Formula: see text] which preserve the nonzero products of operators that annihilated by [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557118500225

Reference10 articles.

1. Linear maps preserving products of positive or Hermitian matrices

2. Maps preserving the idempotency of products of operators

3. Linear maps that preserve matrices annihilated by a polynomial

4. Linear maps on operator algebras that preserve elements annihilated by a polynomial

5. Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces

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