On continuous collections of measures

Robert M. Blumenthal; Harry H. Corson

Annales de l'institut Fourier (1970)

  • Volume: 20, Issue: 2, page 193-199
  • ISSN: 0373-0956

Abstract

top
An integral representation theorem is proved. Each continuous function from a totally disconnected compact space M to the probability measures on a complete metric space X ‾ is shown to be the resolvent of a probability measure on the space of continuous functions from M to X ‾ .

How to cite

top

Blumenthal, Robert M., and Corson, Harry H.. "On continuous collections of measures." Annales de l'institut Fourier 20.2 (1970): 193-199. <http://eudml.org/doc/74013>.

@article{Blumenthal1970,
abstract = {An integral representation theorem is proved. Each continuous function from a totally disconnected compact space $M$ to the probability measures on a complete metric space $\overline\{X\}$ is shown to be the resolvent of a probability measure on the space of continuous functions from $M$ to $\overline\{X\}$.},
author = {Blumenthal, Robert M., Corson, Harry H.},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {2},
pages = {193-199},
publisher = {Association des Annales de l'Institut Fourier},
title = {On continuous collections of measures},
url = {http://eudml.org/doc/74013},
volume = {20},
year = {1970},
}

TY - JOUR
AU - Blumenthal, Robert M.
AU - Corson, Harry H.
TI - On continuous collections of measures
JO - Annales de l'institut Fourier
PY - 1970
PB - Association des Annales de l'Institut Fourier
VL - 20
IS - 2
SP - 193
EP - 199
AB - An integral representation theorem is proved. Each continuous function from a totally disconnected compact space $M$ to the probability measures on a complete metric space $\overline{X}$ is shown to be the resolvent of a probability measure on the space of continuous functions from $M$ to $\overline{X}$.
LA - eng
UR - http://eudml.org/doc/74013
ER -

References

top
  1. [1] S. BOCHNER, Harmonic Analysis and the Theory of Probability, University of Cal. Press, Berkeley (1955). Zbl0068.11702MR17,273d
  2. [2] W. HUREWICZ and H. WALLMAN, Dimension Theory, Princeton University Press, Princeton, N.J. (1941). Zbl0060.39808MR3,312bJFM67.1092.03
  3. [3] N. T. PECK, Representation of Functions in C(X) by Means of Extreme Points, PAMS 18 (1967), 133-135. Zbl0145.38102MR34 #8167

NotesEmbed ?

top

You must be logged in to post comments.

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

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.