# 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

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

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