Analysis on Polish Spaces and an Introduction to Optimal Transportation

DOI10.1017/9781108377362zbMath1407.46001OpenAlexW2771726725MaRDI QIDQ4593759

D. J. H. Garling

Publication date: 23 November 2017

Full work available at URL: https://doi.org/10.1017/9781108377362

zbMATH Keywords

Hilbert spaceBanach spaceBorel measurePolish spaceoptimal transportationChoquet theoryfixed-point theory

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Complete metric spaces (54E50) Transportation, logistics and supply chain management (90B06) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general topology (54-01) Inner product spaces and their generalizations, Hilbert spaces (46C99) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration (28-01) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (6)

Robust existence of nonhyperbolic ergodic measures with positive entropy and full support ⋮ On the properties of the mean orbital pseudo-metric ⋮ Borel complexity of sets of normal numbers via generic points in subshifts with specification ⋮ Generally covariant \(N\)-particle dynamics ⋮ Generalized transportation cost spaces ⋮ Isometric structure of transportation cost spaces on finite metric spaces

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