Spectral theory in effect algebras
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2010
English Abstract
If one supposes a quantum logic L to be a σ-effect algebra, then the observables on L are identified with the L-valued measures defined on the Boral subsets of the real line.
In this structure (and without the aid of Hebert space formalism) we will show that (1) The spectrum of an observable can be completely characterized by studying the observable (A − λ)−1, and (2) Corresponding to every observable A there is a spectral resolution uniquely determined by A and uniquely determining A. Also, we study the existence of spectral measures corresponding to elements of a σ-MV-algebra, and we apply such a result to obtain a similar result concerning σ-complete lattice effect algebras
Main Subjects
Topics
No. of Pages
69
Table of Contents
Contents.
Abstract.
Chapter 1 : Preliminary results.
Chapter 2 : Effect algebras.
Chapter 3 : The relation between observables and spectral resolution.
Chapter 4 : Spectral measures.
American Psychological Association (APA)
Abu Lamdy, Husam Fadil. (2010). Spectral theory in effect algebras. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-300275
Modern Language Association (MLA)
Abu Lamdy, Husam Fadil. Spectral theory in effect algebras. (Master's theses Theses and Dissertations Master). Islamic University. (2010).
https://search.emarefa.net/detail/BIM-300275
American Medical Association (AMA)
Abu Lamdy, Husam Fadil. (2010). Spectral theory in effect algebras. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-300275
Language
English
Data Type
Arab Theses
Record ID
BIM-300275
