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Some characterizations of Daniell lattices

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Publication:1051217
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DOI10.1007/BF01192792zbMath0514.46015MaRDI QIDQ1051217

Wolfgang Adamski

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

positive linear functionalDaniell latticevector lattice of real-valued functions


Mathematics Subject Classification ID

Lattices of continuous, differentiable or analytic functions (46E05) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)


Related Items (3)

On measures integrating all functions of a given vector lattice ⋮ An existence theorem for probability measures invariant under a Markov kernel ⋮ On the existence of invariant probability measures



Cites Work

  • Unnamed Item
  • Daniell lattices and adapted cones
  • Extensions of regular lattice measures with topological applications
  • Measures on locally bounded spaces
  • The representation of functionals by integrals
  • A Stone-Čech-Alexandroff-Type Compactification and its Application to Measure Theory
  • Linear functionals on spaces of continuous functions


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