Maps preserving triple product A∗B + BA∗ on ∗-algebras-Reference-Cited by-同舟云学术

Maps preserving triple product A∗B + BA∗ on ∗-algebras

Published:2019-05-27 Issue:03 Volume:12 Page:1950038
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Taghavi Ali¹,Razeghi Mehran¹,Nouri Mojtaba¹,Darvish Vahid¹

Affiliation:

1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran

Abstract

Let [Formula: see text] and [Formula: see text] be two prime ∗-algebras. Let [Formula: see text] be a bijective and satisfies [Formula: see text] for all [Formula: see text] where [Formula: see text]. Then, [Formula: see text] is additive. Moreover, if [Formula: see text] is idempotent then we show that [Formula: see text] is [Formula: see text]-linear ∗-isomorphism.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557119500384

Reference15 articles.

1. Multiplicative Lie Isomorphisms Between Prime Rings

2. Maps preserving product XY-YX∗ on factor von Neumann algebras

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4. Additivity of Jordan maps on standard Jordan operator algebras

5. Nonlinear mappings preserving productXY+YX∗on factor von Neumann algebras

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