Title: Self-adjoint linear maps on C*-algebra

Authors: Mehdi Tourani; Yasser Khalili

Addresses: Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran ' Department of Basic Sciences, Sari Agricultural Sciences and Natural Resources University, 578 Sari, Iran

Abstract: Let A and B be two unital C*-algebra and let ϕ: A → B be a unital self-adjoint linear map that preserves invertibility and locally preserves commutativity, then ϕ is a continuous Jordan homomorphism.

Keywords: self-adjoint? Jordan homomorphism? locally preserves commutative.

DOI: 10.1504/IJMOR.2021.120024

International Journal of Mathematics in Operational Research, 2021 Vol.20 No.3, pp.323 - 327

Received: 12 Nov 2019
Accepted: 17 Jul 2020
Published online: 04 Jan 2022 *

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