Generalized transportation cost spaces

DOI10.1007/s00009-019-1433-8zbMath1454.46014arXiv1902.10334OpenAlexW2918723355MaRDI QIDQ2295447

Sofiya Ostrovska, Mikhail I. Ostrovskii

Publication date: 13 February 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10334

zbMATH Keywords

Banach spaceWasserstein distancetransportation costArens-Eells spaceLipschitz-free spacelocally finite metric spaceKantorovich-Rubinstein distancedistortion of a bilipschitz embeddingEarth mover distance

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Isometric theory of Banach spaces (46B04) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (9)

Supports in Lipschitz-free spaces and applications to extremal structure ⋮ Complementability of isometric copies of \(\ell_1\) in transportation cost spaces ⋮ Wasserstein distance and metric trees ⋮ Signatures, Lipschitz-Free Spaces, and Paths of Persistence Diagrams ⋮ On relations between transportation cost spaces and \(\ell_1\) ⋮ Embeddability of \(\ell_p\) and bases in Lipschitz free \(p\)-spaces for \(0 < p \leq 1\) ⋮ Lipschitz free spaces isomorphic to their infinite sums and geometric applications ⋮ Analysis on Laakso graphs with application to the structure of transportation cost spaces ⋮ Isometric structure of transportation cost spaces on finite metric spaces

Uses Software

• EMD

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lipschitz-free spaces over ultrametric spaces
• Long history of the Monge-Kantorovich transportation problem
• Free spaces over some proper metric spaces
• On embedding uniform and topological spaces
• Isometric embeddings of compact spaces into Banach spaces
• On the coincidence of the canonical embeddings of a metric space into a Banach space
• Free Banach spaces and representations of topological groups
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Metric embeddings. Bilipschitz and coarse embeddings into Banach spaces
• On embeddings of locally finite metric spaces into \(\ell_p\)
• On Orlicz sequence spaces. III
• On the structure of Lipschitz-free spaces
• Embeddability of locally finite metric spaces into Banach spaces is finitely determined
• Different forms of metric characterizations of classes of Banach spaces
• Tree metrics and their Lipschitz-free spaces
• METRIC DIMENSION REDUCTION: A SNAPSHOT OF THE RIBE PROGRAM
• DISTORTION IN THE FINITE DETERMINATION RESULT FOR EMBEDDINGS OF LOCALLY FINITE METRIC SPACES INTO BANACH SPACES
• Analysis on Polish Spaces and an Introduction to Optimal Transportation
• Lipschitz Algebras
• Lipschitz-free Banach spaces
• Lipschitz-free Spaces on Finite Metric Spaces
• Isometric embedding of ℓ₁ into Lipschitz-free spaces and ℓ_{∞} into their duals
• Embeddings of locally finite metric spaces into Banach spaces
• Linearly rigid metric spaces and the embedding problem
• Best constants for Lipschitz embeddings of metric spaces into c₀
• A Short Proof of the Arens-Eells Embedding Theorem
• EMBEDDING IN HOMOGENEOUS SPACES
• Optimal Transport

This page was built for publication: Generalized transportation cost spaces