Topological groups of Lipschitz functions and Graev metrics

DOI10.1016/j.jmaa.2021.125882zbMath1490.43005OpenAlexW3215665948MaRDI QIDQ2062615

Xabier Dominguez, Mikhail G. Tkachenko, Maria-Jesus Chasco

Publication date: 27 December 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125882

zbMATH Keywords

metric spaceLipschitz functionPontryagin dualityGraev extension of metricsLipschitz free groupLipschitz group of functions

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Character groups and dual objects (43A40)

Cites Work

• On embedding uniform and topological spaces
• Lipschitz structure of quasi-Banach spaces
• Topological groups and related structures
• Free Banach spaces and representations of topological groups
• Additive subgroups of topological vector spaces
• Pontryagin duality for metrizable groups
• Lipschitz free \(p\)-spaces for \(0 < p < 1\)
• Lipschitz-type functions on metric spaces
• Uniform structures and square roots in topological groups. II
• The Pontrjagin duality theorem in linear spaces
• Topics in Banach Space Theory
• On the structure of Lipschitz-free spaces
• The free abelian topological group as a subgroup of the free locally convex topological vector space
• Lipschitz Algebras
• Lipschitz-free Banach spaces
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