Complex Gleason Measures and the Nemytsky Operator

Mariani Maria C.; Tweneboah Osei K.; Valles Miguel A.; Bezdek Pavel

doi:10.2478/amsil-2018-0012

Annales Mathematicae Silesianae (Sep 2019)

Complex Gleason Measures and the Nemytsky Operator

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

Affiliations

Mariani Maria C.: Department of Mathematical Sciences, University of Texas at El Paso, El Paso, Texas, 79968-0514, USA
Tweneboah Osei K.: Computational Science Program, University of Texas at El Paso, El Paso, Texas, 79968-0514, USA
Valles Miguel A.: Department of Mathematical Sciences, University of Texas at El Paso, El Paso, Texas, 79968-0514, USA
Bezdek Pavel: Mathematics and Statistics Department, Utah State University, Logan, Utah 84322-3900, USA

DOI: https://doi.org/10.2478/amsil-2018-0012
Journal volume & issue: Vol. 33, no. 1
pp. 168 – 209

Abstract

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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.

Published in Annales Mathematicae Silesianae

ISSN: 2391-4238 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AMSIL

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