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VOL. 41 | 2004 Integral Representation of Linear Functionals on Vector Lattices and its Application to BV Functions on Wiener Space
Masanori Hino

Editor(s) Hiroshi Kunita, Shinzo Watanabe, Yoichiro Takahashi

## Abstract

We consider vector lattices $\mathbb{D}$ generalizing quasi-regular Dirichlet spaces and give a characterization for bounded linear functionals on $\mathbb{D}$ to have a representation by an integral with respect to smooth measures. Applications to BV functions on Wiener space are also discussed.

## Information

Published: 1 January 2004
First available in Project Euclid: 3 January 2019

zbMATH: 1075.60059
MathSciNet: MR2083707

Digital Object Identifier: 10.2969/aspm/04110121