Work

Entropy numbers of finite-dimensional Lorentz space embeddings

Year: 2025

Type: article

Abstract: The sequence of entropy numbers quantifies the degree of compactness of a linear operator acting between quasi-Banach spaces. We determine the asymptotic behavior of entropy numbers in the case of natural embeddings between finite-dimensional Lorentz spac

Source: Studia Mathematica

DOI: 10.4064/sm240409-15-2

Authors: Joscha Prochno, Mathias Sonnleitner, Jan Vybíral

Institutions: University of Passau, Johannes Kepler University of Linz, Czech Technical University in Prague

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: Deutsche Forschungsgemeinschaft, Grantová Agentura České Republiky, Austrian Science Fund

Awards: G394158628, Geometric aspects of random information, Topics in Asymptotic Geometric Analysis and Applications, Grenzwertsätze für das Volumen zufälliger Projektionen von l_pBällen