On the \(p\)-negative type gap of finite metric spaces and its relation to the Gramian matrix

DOI10.1090/proc/16983MaRDI QIDQ6621294

Gavin Robertson

Publication date: 18 October 2024

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

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Lipschitz and coarse geometry of metric spaces (51F30)

Cites Work

• Asymptotic negative type properties of finite ultrametric spaces
• On the supremal \(p\)-negative type of finite metric spaces
• On the gap of finite metric spaces of \(p\)-negative type
• Strict \(p\)-negative type of a metric space
• Enhanced negative type for finite metric trees
• Corrigendum to: ``Enhanced negative type for finite metric trees [J. Funct. Anal. 254, No. 9, 2336-2364 (2008)]
• Generalized roundness and negative type
• Estimating the gap of finite metric spaces of strict \(p\)-negative type
• On a problem of Smirnov
• Remarks to Maurice Fréchet's article ``Sur la définition axiomatique d'une classe d'espaces vectoriels distanciés applicables vectoriellement sur l'espace de Hilbert.
• ROUNDNESS PROPERTIES OF ULTRAMETRIC SPACES
• The maximal generalised roundness of finite metric spaces
• Metric Spaces and Positive Definite Functions

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