| Title | Convergence theorems for the Ito-Henstock integrable operator-valued stochastic process |
| Authors | Labendia, Mhelmar; Benitez, Julius |
| Publication date | 2020 |
| Journal | Malaysian Journal of Mathematical Sciences |
| Volume | 14 |
| Issue | 3 |
| Pages | 565-586 |
| Publisher | Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia |
| Abstract | In this paper, we formulate versions of convergence theorems for the Ito-Henstock integral of an operator-valued stochastic process with respect to a Hilbert space-valued Wiener process. We also prove that every Ito integrable operator-valued stochastic process is Ito-Henstock integrable using some versions of convergence theorems established in this paper. |
| Index terms / Keywords | Ito-Henstock integrable, Ito integral, Q-Wiener process |
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