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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

Rights: Copyright © 2004 Mathematical Society of Japan

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