Complex Gleason Measures and the Nemytsky Operator
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.
Language: English
Page range: 168 - 209
Submitted on: Aug 31, 2017
Accepted on: Nov 28, 2018
Published on: Jul 18, 2019
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
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© 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.