Year: 2025
Type: article
Abstract: We introduce and study the classes of free bounded holomorphic mappings between open subsets of complex Banach spaces associated with several types of p -compact sets. Characterizations of such mappings related to linearizations, composition operators and factorizations through a quotient space are stated. We establish some versions for free (weakly) compact holomorphic mappings of the known Schauder Theorem, Gantmacher Theorem and Davis–Figiel–Johnson–Pełczyński Factorization Theorem on linear operators between Banach spaces. The relationships with the classes of p -nuclear and p -integral bounded holomorphic mapping are studied.
Institutions: University of Almería, Necmettin Erbakan University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,490
OpenAlex ID: W4413441944