The Projection of a Linear Functional on the Manifold of Integrals

1 January 1957

journal article
Published by Canadian Mathematical Society in Canadian Journal of Mathematics

Vol. 9, 465-474
https://doi.org/10.4153/cjm-1957-055-7

Abstract

If μ is a measure defined on a space and f_n(x) is a sequence of μ-integrable functions converging to f(x), then under suitable conditions of boundedness, one has the theorem of Lebesgue that .

Keywords

MANIFOLD OF INTEGRALS
LINEAR FUNCTIONAL ON THE MANIFOLD
PROJECTION OF A LINEAR FUNCTIONAL

This publication has 1 reference indexed in Scilit:

Finitely additive measures
Transactions of the American Mathematical Society, 1952