<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Complex Gleason Measures and the Nemytsky Operator

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Complex Gleason Measures and the Nemytsky Operator"}

This work is devoted to the generalization of previous results on Gleason measures to complex Gleason measures. We develop a functional calculus for complex...

Complex Gleason Measures and the Nemytsky Operator

Publié en ligne: 18 juil. 2019

Pages: 168 - 209

Reçu: 31 août 2017

Accepté: 28 nov. 2018

DOI: https://doi.org/10.2478/amsil-2018-0012

Mots clés
complex Gleason measures, Nemytsky operator, quantum mechanics

© 2019 Maria C. Mariani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Complex Gleason Measures and the Nemytsky Operator

Publié en ligne: 18 juil. 2019

Pages: 168 - 209

Reçu: 31 août 2017

Accepté: 28 nov. 2018

DOI: https://doi.org/10.2478/amsil-2018-0012

Mots cléscomplex Gleason measures, Nemytsky operator, quantum mechanics

© 2019 Maria C. Mariani et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
complex Gleason measures, Nemytsky operator, quantum mechanics