Remarks on countable subadditivity

2023/04/16 by Loukas Grafakos, Monica Vişan, Grafakos, Loukas +1
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Banach Space Theory #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2304.07831

openalex publication_date 2023/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss how countable subadditivity of operators can be derived from subadditivity under mild forms of continuity, and provide examples manifesting such circumstances.

Related

• Fekete's Subadditive Lemma Revisited
• Fekete's lemma for componentwise subadditive functions of two or more real variables
• Additivity, subadditivity and linearity: automatic continuity and quantifier weakening
• Can a small Gaussian perturbation break subadditivity?
• Matrix subadditivity inequalities and block-matrices