Properties Of Quantum Multivalued Operators

  • L. A. Abimbola
  • E. O. Ayoola
Keywords: Multivalued operators, Quantum stochastic operator, Quantum stochastic processes

Abstract

This paper explores the properties of multivalued maps associated with quantum stochastic operators as formulated by Hudson and Parthasarathy. We focus on key aspects including the measure of noncompactness, continuity of multivalued operators, and the condensing property. Also, we consider measurability, strong measurability, the Castaining representation, and the Lusin property. These findings contribute to a deeper understanding of the behavior of
multivalued operators in quantum stochastic analysis and highlight the interconnectedness of these properties within the framework of quantum stochastic analysis. By investigating this properties, our work provides valuable insights that could inform future research and enhance the theoretical foundation of quantum stochastic processes

Published
2025-10-15
How to Cite
Abimbola , L. A., & Ayoola, E. O. (2025). Properties Of Quantum Multivalued Operators. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 11(3), 128 - 137. Retrieved from https://ijmso.unilag.edu.ng/article/view/2857
Issue
Vol 11 No 3 (2025)
Section
Articles

Copyright (c) 2025 Author

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