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Please use this identifier to cite or link to this item:

http://hdl.handle.net/20.500.12358/26058
TitleBrooks-Jewett and Nikodym convergence theorems for orthoalgebras that have the weak subsequential interpolation property
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Abstract

A weak form of σ-orthocompleteness or σ-orthosummability, referred to as the Weak Subsequential Interpolation Property, is defined for Orthoalgebras. It is shown that the class of Orthoalgebras that have this property properly contains the class of σ-orthoalgebras. The Brooks-Jewett theorem and the Nikodym convergence theorem for semigroup-valued finitely additive and s-bounded measures defined on an orthoalgebra satisfying the Weak Subsequential Interpolation Property are proved.

Authors
Habil, Eissa D.
TypeJournal Article
Date1995
Published inInternational Journal of Theoretical Physics
SeriesVolume: 34, Number: 4
PublisherKluwer Academic Publishers-Plenum Publishers
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  • Staff Publications- Faculty of Science [1030]
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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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