Approximate modularity: Kalton’s constant is not smaller than 3

DOI10.1090/proc/15195zbMath1459.28001arXiv2003.01193OpenAlexW3033660273MaRDI QIDQ5145520

Michał Gnacik, Tomasz Kania, Marcin Guzik

Publication date: 20 January 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01193

zbMATH Keywords

additive set function\(1\)-additive set functionKalton's constant

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Measures on Boolean rings, measure algebras (28A60)

Uses Software

• SCS
• GitHub

Cites Work

• Conic optimization via operator splitting and homogeneous self-dual embedding
• Stability of vector measures and twisted sums of Banach spaces
• Approximate homomorphisms on lattices
• On concentrators and related approximation constants
• Uniformly Exhaustive Submeasures and Nearly Additive Set Functions
• Approximately additive set functions
• Approximate Modularity Revisited

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