Year: 2024
Type: article
Abstract: We investigate first Baire functionals on the dual ball of a separable Banach space $$X$$ X which are pointwise limit of a sequence of $$X$$ X whose closed span does not contain any copy of $$\ell_1$$ ℓ 1 (or has separable dual). We propose an example of a $$C(K)$$ C ( K ) space where not all such first Baire functionals exhibit this behavior. As an application, we study a quantitative version, in terms of descriptive set theory, of family a separable Banach spaces with this peculiarity.
Authors: J. Mirmina, D. Puglisi
Institutions: University of Pisa, University of Catania
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4402822121