Year: 2025
Type: article
Abstract: Symmetric operator spaces are generalizations of symmetric function spaces such as the classical (commutative) $$L^p$$ L p -spaces, Orlicz spaces, Lorentz spaces and Banach function spaces. In this setting of (potentially) non-commutative symmetric operator spaces we investigate analogues of composition operators, which are also called quantum composition operators. In particular, we provide sufficient conditions under which a Jordan $$*$$ ∗ -homomorphism induces a quantum composition operator between non-commutative symmetric spaces and we characterize those bounded operators between non-commutative symmetric spaces that are quantum composition operators. Furthermore, compactness conditions of quantum composition operators are investigated.
Source: Afrika Matematika
Author: Pierre de Jager
Institution: University of South Africa
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Funder: University of South Africa
OpenAlex ID: W4409536100