Closed convex hull of sets of measurable functions, Riemann measurable functions and measurability of translations

DOI10.5802/aif.859zbMath0452.28004OpenAlexW2094484618MaRDI QIDQ1148408

Michel Talagrand

Publication date: 1982

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_1_39_0

zbMATH Keywords

locally compact groupBorel measurableleft translationleft uniformly continuousscalarly measurable

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Convex sets in topological linear spaces; Choquet theory (46A55) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

Category product densities and liftings ⋮ On liftings and the regularization of stochastic processes ⋮ Fubini type products for densities and liftings ⋮ Measurable translations and Rosenthal sets ⋮ On products of admissible liftings and densities ⋮ On topological centre problems and SIN quantum groups ⋮ Linear liftings respecting coordinates ⋮ Noncommutative Riemann integration and Novikov-Shubin invariants for open manifolds

Cites Work

• Unnamed Item
• Measurable functions and almost continuous functions
• Homomorphisms and translations in L\(^\infty\)(G)
• Pointwise compact sets of measurable functions
• Invariant means for the bounded measurable functions on a non-discrete locally compact group
• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• Homomorphisms and translates of bounded functions
• Pointwise Compact Sets of Baire-Measurable Functions
• Martin's Axiom

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