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

Ali Taghavi, Mehran Razeghi, Mojtaba Nouri, Vahid Darvish

Source record

Source: Crossref

Published: May 27, 2019

DOI: 10.1142/s1793557119500384

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Source 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.

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