A study of conditional expectation on filtered fermionic Fock space

Authors

  • Zulaihatu Tijjani Ahmad Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
  • Abba Ali Tijjani Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria

Keywords:

Fock Space, Fermionic Fock Space, Conditional Expectation, Stopping Time

Abstract

This paper presents a structural analysis of stopping time in noncommutative probability theory within the context of Fermionic Fock Space. In particular, the construction of conditional expectation and the introduction and analysis of stopping times on an antisymmetric Fock space are undertaken using an increasing full right continuous filtered antisymmetric Fock Space. The conditional expectation on the filtered Fock space is demonstrated to be completely positive.

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Published

03/30/2024

How to Cite

Ahmad, Z. T., & Tijjani, A. A. (2024). A study of conditional expectation on filtered fermionic Fock space. Faculty of Natural and Applied Sciences Journal of Mathematics, and Science Education, 5(2), 97–101. Retrieved from https://fnasjournals.com/index.php/FNAS-JMSE/article/view/402

Issue

Vol. 5 No. 2 (2024): 2024-FNAS-JMSE-5-2

Section

Articles