Journal
| Title | Double Lusin condition and Vitali convergence theorem for the Ito-McShane integral Posted by Mhelmar Labendia |
| Authors | Labendia, Mhelmar; Cagubcob, Jeffer Dave |
| Publication date | 2020 |
| Journal | Advances in Operator Theory |
| Volume | 5 |
| Issue | 2 |
| Pages | 453-473 |
| Publisher | Springer, Birkhäuser |
| Abstract | In this paper, we formulate a version of Vitali convergence theorem for the Ito-McShane integral of an operator-valued stochastic process with respect to a Q-Wiener process. We also characterize the integral using double Lusin condition. |
| Index terms / Keywords | Belated McShane integral, Ito-McShane integral, IM-equi-integrable, IM-equi-AC, Q-Wiener process |
| DOI | https://doi.org/10.1007/s43036-019-00038-5 |
| URL | https://link.springer.com/article/10.1007/s43036-019-00038-5 |