A note on measure extension problem of ℓ-group-valued measures

Surjit Singh Khurana

doi:10.2478/v10127-009-0017-6

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A note on measure extension problem of ℓ-group-valued measures

Tatra Mountains Mathematical Publications

Volume 42 (2009): Issue 1 (April 2009)

By: Surjit Singh Khurana

Open Access

|Nov 2012

Abstract

For an Abelian, Archimedean Dedekind complete lattice-ordered, weakly σ-distributive group G and an algebra Ƒ

of subsets of a set X, every positive measure μ: Ƒ→G has a unique countably additive (in order convergence) extension to σ-algebra generated by Ƒ.

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-009-0017-6 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 187 - 189

Published on: Nov 12, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

extremely disconnected compact Hausdorff spaces,

lattice-valued measures

Related subjects:

Mathematics,

General mathematics

© 2012 Surjit Singh Khurana, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 42 (2009): Issue 1 (April 2009)