Complex Gleason Measures and the Nemytsky Operator

Autor: Mariani Maria C., Tweneboah Osei K., Valles Miguel A., Bezdek Pavel
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Annales Mathematicae Silesianae, Vol 33, Iss 1, Pp 168-209 (2019)
Druh dokumentu: article
ISSN: 2391-4238
2018-0012
DOI: 10.2478/amsil-2018-0012
Popis: 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.
Databáze: Directory of Open Access Journals