Complete orthogonality preservers between C*-algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:483

Article

Garces, Jorge J.¹ 

[1] Univ Fed Santa Catarina, Ctr Ciencias Fis & Matemat, Dept Matemat, Florianopolis, SC, Brazil

关键词: Orthogonality;    Orthogonality preserving;    Triple homomorphism;    TRO homomorphism;    C*-algebra;   

DOI  :  10.1016/j.jmaa.2019.123596

来源: Elsevier

【 摘 要 】

We introduce n-orthogonality (and completely orthogonality) preserving operators between C*-algebras. Our main theorem states that every completely orthogonality preserving bounded linear mapping between C*-algebras is a weighted TRO homomorphism. We also give several characterisations of TRO homomorphisms among triple homomorphisms. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free