Work

Copies of $$l^{\infty }$$ in Quasi-normed Calderón–Lozanovskiĭ Spaces

Year: 2024

Type: article

Abstract: We consider order isomorphic and order linearly isometric copies of $$l^{\infty }$$ l ∞ in the quasi-normed Calderón–Lozanovskiĭ spaces $$E_{\varphi }$$ E φ . We present a number of theorems describing these copies in the natural language of suitable properties of the quasi-normed ideal space E and the non-decreasing Orlicz function $$\varphi $$ φ . In particular, we will characterize quasi-normed Orlicz–Lorentz spaces having order isomorphic and order linearly isometric copies of $$l^{\infty }$$ l ∞ . Our studies are conducted in a full possible generality due to the measure space and the Orlicz function.

Source: Results in Mathematics

DOI: 10.1007/s00025-024-02331-z

Authors: Paweł Foralewski, Henryk Hudzik, Paweł Kolwicz

Institutions: Adam Mickiewicz University in Poznań, Poznań University of Technology

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Politechnika Poznańska