Unitary Processes with Independent Increments and Representations of Hilbert Tensor Algebras

Lingaraj Sahu; Michael Schürmann; Kalyan B. Sinha

doi:10.2977/prims/1249478964

JournalsprimsVol. 45, No. 3pp. 745–785

Unitary Processes with Independent Increments and Representations of Hilbert Tensor Algebras

Lingaraj Sahu
Indian Statistical Institute, Bangalore, India
MathSciNet zbMATH Open
Michael Schürmann
Ernst-Moritz-Arndt-Universität Greifswald, Germany
MathSciNet zbMATH Open
Kalyan B. Sinha
New Delhi, India
MathSciNet zbMATH Open

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Abstract

The aim of this article is to characterize unitary increment process by a quantum stochastic integral representation on symmetric Fock space. Under certain assumptions we have proved its unitary equivalence to a Hudson–Parthasarathy flow.

Cite this article

Lingaraj Sahu, Michael Schürmann, Kalyan B. Sinha, Unitary Processes with Independent Increments and Representations of Hilbert Tensor Algebras. Publ. Res. Inst. Math. Sci. 45 (2009), no. 3, pp. 745–785

DOI 10.2977/PRIMS/1249478964