The integration of operator-valued functions with respect to vector-valued measures

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Keywords:

Hitsuda-Skorohod integral, resolution of identity, Fock space

Abstract

We investigate the $H$-stochastic integral introduced in [24]. It is known that this integral generalizes the classical Ito stochastic integral and the Ito integral on a Fock space. In the present paper we construct and study an extension of the $H$-stochastic integral which will generalize the Hitsuda-Skorokhod integral.

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Published

2012-09-25

Issue

Vol. 18 No. 3 (2012)

Section

Articles

How to Cite

Tesko, V. A. “The Integration of Operator-Valued Functions With Respect to Vector-Valued Measures”. Methods of Functional Analysis and Topology, vol. 18, no. 3, Sept. 2012, pp. 288-04, https://zen.imath.kiev.ua/index.php/mfat/article/view/523.