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Wold’s Theorem and Automorphic Factors of Endomorphisms
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Wold’s Theorem and Automorphic Factors of Endomorphisms

Sergey Bezuglyi and Palle E. T Jorgensen
Transfer Operators, Endomorphisms, and Measurable Partitions, pp.85-92
Lecture Notes in Mathematics, Springer International Publishing
06/22/2018
DOI: 10.1007/978-3-319-92417-5_7

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Abstract

In this chapter, we discuss Wold’s theorem stating the existence of a decomposition of any isometry operator of a Hilbert space in a unitary part and a unilateral shift.
Automorphic factors Decompositions Exact endomorphisms Isometry Orthogonal direct sum Stochastic Wold

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