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Elliott-Morse measures and Kakutani's dichotomy theorem

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Publication:1202422
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DOI10.1007/BF02571429zbMath0761.28004MaRDI QIDQ1202422

Edwin Hewitt, Gunter Ritter

Publication date: 2 February 1993

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

Full work available at URL: https://eudml.org/doc/174442

zbMATH Keywords

Lebesgue decompositiontrichotomydiffusenessElliott-Morse measuresinfinite products of positive measuresKakutani's dichotomynon-\(\sigma\)-finiteness


Mathematics Subject Classification ID

Measures and integrals in product spaces (28A35)


Related Items

“Lebesgue measure” on ℝ^{∞}, II



Cites Work

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  • Equivalence and perpendicularity of Gaussian processes
  • Quasi-invariant measures on commutative Lie groups of infinite product type
  • On equivalence of infinite product measures
  • Distributions in Hilbert Space and Canonical Systems of Operators
  • On dichotomy of Riesz products
  • General Product Measures
  • An Extension of Kakutani's Theorem on Infinite Product Measures to the Tensor Product of Semifinite w ∗ -Algebras
  • σ-Finite Invariant Measures on Infinite Product Spaces
  • Invariant Measures in Groups Which are not Locally Compact
  • Product Measures
  • Stochastic processes and statistical inference
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