Labendia, Mhelmar A. A Riemann-type definition of the Itô integral for the operator-valued stochastic process. (English) Zbl 1412.60101 Adv. Oper. Theory 4, No. 3, 625-640 (2019). Summary: In this paper, we introduce the Itô-McShane integral and show that the classical Itô integral of an operator-valued stochastic process with respect to a Hilbert space-valued \(Q\)-Wiener process can be defined, using the Itô-McShane integral. Cited in 1 Document MSC: 60H30 Applications of stochastic analysis (to PDEs, etc.) 60H05 Stochastic integrals Keywords:Itô-McShane integrable; belated McShane integrable; classical Itô integral; \(Q\)-Wiener process PDF BibTeX XML Cite \textit{M. A. Labendia}, Adv. Oper. Theory 4, No. 3, 625--640 (2019; Zbl 1412.60101) Full Text: DOI Euclid Link OpenURL