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Invertibility preserving mappings onto finite C*-algebras
Published 31 Dec 2022 in math.OA and math.FA | (2301.00208v1)
Abstract: We prove that every surjective unital linear mapping which preserves invertible elements from a Banach algebra onto a C*-algebra carrying a faithful tracial state is a Jordan homomorphism thus generalising Aupetit's 1998 result for finite von Neumann algebras.
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