Complete orthogonality preservers between C$^*$-algebras
Operator Algebras
2024-02-02 v1
Abstract
We introduce -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.
Cite
@article{arxiv.2402.00503,
title = {Complete orthogonality preservers between C$^*$-algebras},
author = {Jorge J. Garcés},
journal= {arXiv preprint arXiv:2402.00503},
year = {2024}
}