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arxiv: math/0412107 · v2 · submitted 2004-12-06 · 🧮 math.OA · math.FA

Decompositions of Beurling Type for E₀-Semigroups

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keywords decompositionsbeurlingcocyclessemigroupsadaptednessanalogousccr-flowscharacterized
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We define tensor product decompositions of $E_0$-semigroups with a structure analogous to a classical theorem of Beurling. Such decompositions can be characterized by adaptedness and exactness of unitary cocycles. For CCR-flows we show that such cocycles are convergent.

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