학술논문

Invertibility preserving mappings onto finite C*-algebras
Document Type
Working Paper
Source
Subject
Mathematics - Operator Algebras
Mathematics - Functional Analysis
47B48, 47A10, 46L05, 46L30, 16W10, 17C65
Language
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.
Comment: 7 pages