| Title |
Double Lusin condition and Vitali convergence theorem for the Ito-McShane integral |
|
Authors |
Labendia, Mhelmar; Cagubcob, Jeffer Dave |
|
Publication date |
2020 |
|
Journal |
Advances in Operator Theory |
| Volume |
5 |
| Issue |
2 |
| Pages |
453-473 |
| Publisher |
Springer, Birkh脙陇user |
| 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 |
|
| URL |
|
Mindanao State
University - Iligan Institute of Technology