Pure quasi-states and extremal quasi-measures

DOI10.1007/BF01444904zbMath0791.46028OpenAlexW1991506249MaRDI QIDQ1318026

Johan F. Aarnes

Publication date: 23 March 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165059

zbMATH Keywords

connectivity-propertiesextremal quasi-measuresnonlinear Gelfand-transformorder-structure of the positive conesimple quasi- states

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Commutative Banach algebras and commutative topological algebras (46J99) Representations of commutative topological algebras (46J25)

Related Items (16)

On integration with respect to a DT-measure ⋮ Quasi-measures and dimension theory ⋮ Decomposition of transformations ⋮ Quasi-measures on completely regular spaces ⋮ Semisolid sets and topological measures ⋮ Weak convergence of topological measures ⋮ Ways of obtaining topological measures on locally compact spaces ⋮ Isotopy-invariant topological measures on closed orientable surfaces of higher genus ⋮ \(q\)-functions and extreme topological measures ⋮ Construction and properties of quasi-linear functionals ⋮ Smoothness properties of quasi-measures ⋮ Integration with respect to deficient topological measures on locally compact spaces ⋮ Quasi-linear functionals on locally compact spaces ⋮ Existence of pseudoheavy fibers of moment maps ⋮ Quasi-measures with image transformations as generalized variables ⋮ Repeated quasi-integration on locally compact spaces

Cites Work

• Quasi-states and quasi-measures
• Topology and the construction of extreme quasi-measures
• Quasi-States on C ∗ -Algebras
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