A Decomposition Theorem for Additive Set-Functions, with Applications to Pettis Integrals and Ergodic Means.

Michel Talagrand; David H. Fremlin

Mathematische Zeitschrift (1979)

  • Volume: 168, page 117-142
  • ISSN: 0025-5874; 1432-1823

How to cite

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Talagrand, Michel, and Fremlin, David H.. "A Decomposition Theorem for Additive Set-Functions, with Applications to Pettis Integrals and Ergodic Means.." Mathematische Zeitschrift 168 (1979): 117-142. <http://eudml.org/doc/172865>.

@article{Talagrand1979,
author = {Talagrand, Michel, Fremlin, David H.},
journal = {Mathematische Zeitschrift},
keywords = {Bounded Scalarly Measurable Function; Ergodic Means; Nonmeasurable Cluster Point; Decompostion Theorem for Additive Set-Functions; Perfect Probability Space; Purely Nonmeasurable; Pettis Integral; Bounded Additive Functional; Nontotally Bounded and Nonseparable Ranges; Haar Measure; Natural Characteristic-Function Map; Positive Additive Functional; ContinuUm Hypothesis},
pages = {117-142},
title = {A Decomposition Theorem for Additive Set-Functions, with Applications to Pettis Integrals and Ergodic Means.},
url = {http://eudml.org/doc/172865},
volume = {168},
year = {1979},
}

TY - JOUR
AU - Talagrand, Michel
AU - Fremlin, David H.
TI - A Decomposition Theorem for Additive Set-Functions, with Applications to Pettis Integrals and Ergodic Means.
JO - Mathematische Zeitschrift
PY - 1979
VL - 168
SP - 117
EP - 142
KW - Bounded Scalarly Measurable Function; Ergodic Means; Nonmeasurable Cluster Point; Decompostion Theorem for Additive Set-Functions; Perfect Probability Space; Purely Nonmeasurable; Pettis Integral; Bounded Additive Functional; Nontotally Bounded and Nonseparable Ranges; Haar Measure; Natural Characteristic-Function Map; Positive Additive Functional; ContinuUm Hypothesis
UR - http://eudml.org/doc/172865
ER -

Citations in EuDML Documents

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  1. Michel Talagrand, Sur les mesures vectorielles définies par une application Pettis-intégrable
  2. L. Rodríguez-Piazza, M. Romero-Moreno, Conical measures and properties of a vector measure determined by its range
  3. Grzegorz Plebanek, On Pettis integrals with separable range
  4. Michel Talagrand, Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations
  5. Kazimierz Musiał, Integration and decompositions of weak * -integrable multifunctions

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