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Title A Riemann-type definition of the Ito integral for the operator-valued stochastic process
Posted by Mhelmar Labendia
Authors Labendia, Mhelmar
Publication date 2019
Journal Advances in Operator Theory
Volume 4
Issue 3
Pages 625-640
Publisher Tusi Mathematical Research Group
Abstract In this paper, we introduce the Ito-McShane integral and show that the classical Ito integral of an operator-valued stochastic process with respect to a Hilbert space-valued Q-Wiener process can be defi ned, using the Ito-McShane integral.
Index terms / Keywords Ito-McShane integrable, belated McShane integrable, classical Ito integral, Q-Wiener process.
DOI https://doi.org/10.15352/aot.1810-1435
URL https://projecteuclid.org/journals/advances-in-operator-theory/volume-4/issue-3/A-Riemann-type-definition-of-the-It%c3%b4-integral-for-the/10.15352/aot.1810-1435.short