The Annals of Mathematical Statistics

Measurability of Extensions of Continuous Random Transforms

Otto Hans

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Abstract

Extension theorems of Tietze and Hahn-Banach play an important part in functional analysis. It seems reasonable to deal with similar questions for random transforms. In the present paper some measurability problems arising in connection with this probabilistic generalization are solved.

Article information

Source
Ann. Math. Statist., Volume 30, Number 4 (1959), 1152-1157.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177706100

Digital Object Identifier
doi:10.1214/aoms/1177706100

Mathematical Reviews number (MathSciNet)
MR108846

Zentralblatt MATH identifier
0094.12003

JSTOR
links.jstor.org

Citation

Hans, Otto. Measurability of Extensions of Continuous Random Transforms. Ann. Math. Statist. 30 (1959), no. 4, 1152--1157. doi:10.1214/aoms/1177706100. https://projecteuclid.org/euclid.aoms/1177706100


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