Complete orthogonality preservers between C⁎-algebras

Complete orthogonality preservers between C⁎-algebras

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 homomo...

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Veröffentlicht in:Journal of mathematical analysis and applications 2020-03, Vol.483 (1), p.123596, Article 123596
1. Verfasser: Garcés, Jorge J.
Format: Artikel
Sprache:eng
Schlagworte:
C⁎-algebra
Orthogonality
Orthogonality preserving
Triple homomorphism
TRO homomorphism
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Zusammenfassung: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.123596