Integration of real-valued set functions in abstract Spaces
- 1 February 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 4 (2) , 202-213
- https://doi.org/10.1017/s1446788700023405
Abstract
Let an abstract space of points x and let ℳ be a σ-field of subsets of , that is a class of subsets of such that (i) ∈ ℳ, (ii) if M ∈ ℳ then — M ∈ ℳ and (iii) if {Mj} is any sequence of elements of ℳ then UjMj ∈ ℳ.Keywords
This publication has 4 references indexed in Scilit:
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- Integration in abstract spacesBulletin of the American Mathematical Society, 1953
- Integration of Functions with Values in a Bananch SpaceTransactions of the American Mathematical Society, 1935
- Integration of functions with values in a Banach spaceTransactions of the American Mathematical Society, 1935