# 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

## Access Full Article

top## How to cite

topTalagrand, 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

top- Michel Talagrand, Sur les mesures vectorielles définies par une application Pettis-intégrable
- L. Rodríguez-Piazza, M. Romero-Moreno, Conical measures and properties of a vector measure determined by its range
- Grzegorz Plebanek, On Pettis integrals with separable range
- Michel Talagrand, Closed convex hull of set of measurable functions, Riemann-measurable functions and measurability of translations

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.