Arcwise Connectedness of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions

37th International Conference on Quantum Probability and Related Topics

Dikko, D.A.^1 ; Ayoola, E.O.^1

Department of Mathematics, University of Ibadan, Oyo State, Ibadan, Nigeria^1

关键词: Function spaces;    Lipschitzian;    Matrix elements;    Quantum stochastic calculus;    Solution set;    Stochastic differential inclusions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/819/1/012005/pdf
DOI  :  10.1088/1742-6596/819/1/012005

来源: IOP

【 摘 要 】

In the framework of the Hudson - Parthasarathy quantum stochastic calculus, we employ some recent selection results to prove that the function space of the matrix elements of solutions to quantum stochastic differential inclusion (QSDI) is arcwise connected both locally and globally.