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Complex Gleason Measures and the Nemytsky Operator

Annales Mathematicae Silesianae

Volume 33 (2019): Issue 1 (September 2019)

By: Maria C. Mariani, Osei K. Tweneboah, Miguel A. Valles and Pavel Bezdek

Open Access

|Jul 2019

Abstract

This work is devoted to the generalization of previous results on Gleason measures to complex Gleason measures. We develop a functional calculus for complex measures in relation to the Nemytsky operator. Furthermore we present and discuss the interpretation of our results with applications in the field of quantum mechanics. Some concrete examples and further extensions of several theorems are also presented.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2018-0012 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 168 - 209

Submitted on: Aug 31, 2017

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Accepted on: Nov 28, 2018

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Published on: Jul 18, 2019

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

complex Gleason measures,

Nemytsky operator,

quantum mechanics

Related subjects:

General mathematics

© 2019 Maria C. Mariani, Osei K. Tweneboah, Miguel A. Valles, Pavel Bezdek, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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