Year: 2025
Type: article
Abstract: Let E and F be Banach spaces. We establish conditions under which weak sequential completeness is equivalent to reflexivity in the space $$\mathcal{I}(E;F)$$ I ( E ; F ) of linear operators from E to F belonging to a given operator ideal $$\mathcal I$$ I . Additionally, we investigate similar conditions for the space $$\mathcal{Q}(^nE;F)$$ Q ( n E ; F ) of n -homogeneous polynomials from E to F belonging to a given polynomial ideal $$\mathcal Q$$ Q . Illustrative examples are provided.
Authors: Sergio A. Pérez, Michael A. Rincón-Villamizar
Institution: Universidad Industrial de Santander
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4415908691