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Mathematica Slovaca

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Volume 68, Issue 3

Issues

Approximation in quantum measure spaces

Mona Khare / Bhawna Singh / Anurag Shukla
Published Online: 2018-05-18 | DOI: https://doi.org/10.1515/ms-2017-0119

Abstract

The objective of the present paper is to introduced and study the notion of μ-approximation by a subfamily K of a difference poset E. Various properties are proved and then applied to obtain some crucial results including a generalization of the Marczewski Theorem which states that countable compactness is sufficient for σ-additivity of a supermodular measure μ.

MSC 2010: Primary 06C15, 81P10, 03G10; Secondary 28C99

Keywords: difference posets; σ-additive measure; compact measure; μ-approximation

The third author acknowledges with gratitude the financial support in part by Council of Scientific and Industrial Research (CSIR), New Delhi, India under Grant No. 09/001(0320) /2009-EMR-I.

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About the article


Received: 2016-08-26

Accepted: 2016-10-18

Published Online: 2018-05-18

Published in Print: 2018-06-26


Citation Information: Mathematica Slovaca, Volume 68, Issue 3, Pages 491–500, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0119.

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