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Home  >  Transactions of NAMP VOL 14

5. NON-COMMUTATIVE STOPPING TIMES AND TIME PROJECTIONS IN A FILTERED HILBERT SPACE by A. A. MUHAMMAD and A. A. TIJJANI Volume 14, (January - March, 2021 Issue)
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NON-COMMUTATIVE STOPPING TIMES AND TIME PROJECTIONS IN A FILTERED HILBERT SPACE

A. A. MUHAMMAD and A. A. TIJJANI

Department of Mathematics, Ahmadu Bello University, Zaria – Nigeria.

Abstract

We present the theory of non-commutative stopping time were the von Neumann algebra is semi-finite that is the von Neumann algebra has a faithful, normal and semi-finite trace. We define a representation mapping and analyze the representation mapping into the existing properties of stopping times and time projection. We also prove the optional stopping theorem.

Keywords: Non-Commutative Stopping Times, Time Projections, Filtered Hilbert Space

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