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http://hdl.handle.net/20.500.12358/21409
TitleSpectral Theory in Effect Algebras
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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 Borel subsets of the real line. In this structure (and without the aid of Hibert space formalism) we will show that (1) the spectrum of an observable can be completely characterised 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.

Authors
Abu Lamdy, Hossam Fadel
Supervisors
Habil, Eissa D.
Typeرسالة ماجستير
Date2010
LanguageEnglish
Publisherthe islamic university
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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