On certain properties of the spaces of order-preserving functionals

DOI10.1016/j.topol.2008.05.019zbMath1163.46019OpenAlexW2081487961MaRDI QIDQ946603

A. A. Zaitov, Sergio A. Albeverio, Shavkat A. Ayupov

Publication date: 23 September 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.05.019

zbMATH Keywords

weightsdensityweak density\(\tau\)-smooth order-preserving functionalsRadon order-preserving functionals

Mathematics Subject Classification ID

Categories, functors in functional analysis (46M15) Special categories (18B99) Spaces of measures (46E27) Maps and general types of topological spaces defined by maps (54C99)

Related Items (9)

Extreme boundary of the space semi-additive functionals on the three-point set ⋮ Metrization of a space of weakly additive functionals ⋮ THE FUNCTOR OF IDEMPOTENT PROBABILITY MEASURES AND MAPS WITH UNIFORMITY PROPERTIES OF UNIFORM SPACES ⋮ Metrization of the space of weakly additive positively-homogeneous functionals ⋮ On the functor of semiadditive \(\tau\)-smooth functionals ⋮ Dimension of extremal boundary of the space of semiadditive functionals ⋮ On the dimension of the space of weakly additive functionals ⋮ Categorical and topological properties of the functor of Radon functionals ⋮ Nonlinear functionals on \(C(X)\) and Choquet integrals

Cites Work

• On weakly additive functionals
• Spaces of measures on metrizable spaces
• Some categorical properties of the functors \(O_\tau \) and \(O_R\) of weakly additive functionals
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