We prove that unital surjective spectral isometries on certain non-simple unital C*-algebras are Jordan isomorphisms. Along the way, we establish several general facts in the setting of semisimple Banach algebras.
机构:
Inst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, ArgentinaInst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, Argentina
Laura Arias, M.
Mbekhta, Mostafa
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机构:
Univ Lille 1, UFR Math, F-59655 Villeneuve Dascq, FranceInst Argentino Matemat Alberto P Calderon, RA-1083 Buenos Aires, DF, Argentina