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2 Journal of Applied Analysis

2 Mohammed A. A. A.

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A note on p-times and time projections

100%

Mohammed A. A. A.

Journal of Applied Analysis

2006

tom Vol. 12, nr 2

189-207

We look at analogues of the σ-algebras of events occurring up to a time and the events which are strictly prior to a time of the classical (commutative) theory. In the second case, we define the p-times and investigate the order structure of time projections associated with these times in an abstract set up.

On the order structure of time projection

63%

Mohammed A. A. A.

Journal of Applied Analysis

2002

tom Vol. 8, nr 2

279-295

The order structure of time projections associated with random times in a von Neumann algebra is investigated in the general setup as well as that of the CAR and CCR algebras. In the second case various additional properties (such as e.g. the upper/lower continuity) of the lattice of time projections are also discussed.