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

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

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