Work

When is a subspace of ℓ ∞ N isometrically isomorphic to ℓ ∞ n ?

Year: 2025

Type: article

Abstract: It is shown in this note that one can decide whether an n -dimensional subspace of ℓ ∞ N is isometrically isomorphic to ℓ ∞ n by testing a finite number of determinental inequalities. As a byproduct, an elementary proof is provided for the fact that an n -dimensional subspace of ℓ ∞ N with projection constant equal to one must be isometrically isomorphic to ℓ ∞ n .

Source: Linear Algebra and its Applications

DOI: 10.1016/j.laa.2025.12.009

Authors: Beata Derȩgowska, Simon Foucart, Barbara Lewandowska

Institutions: Uniwersytet Komisji Edukacji Narodowej w Krakowie, Texas A&M University, Jagiellonian University

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,230

Funders: National Science Foundation, Uniwersytet Jagielloński w Krakowie, Directorate for Mathematical and Physical Sciences