Unitary dilation and fixed point theorem
Marek Ptak (1989)
Annales Polonici Mathematici
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Marek Ptak (1989)
Annales Polonici Mathematici
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M.B. Szendrei (1985)
Semigroup forum
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Najar, Rudolph M. (1995)
International Journal of Mathematics and Mathematical Sciences
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Putnam, C.R. (1981)
International Journal of Mathematics and Mathematical Sciences
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Rolf Gohm (2006)
Banach Center Publications
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We define tensor product decompositions of E₀-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.
A.A. Ismaeel (1994)
Semigroup forum
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Paul Muhly (1974)
Studia Mathematica
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P.R. Jones (1982)
Semigroup forum
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Steen Pedersen (1988)
Studia Mathematica
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Wojciech Chojnacki (1990)
Colloquium Mathematicae
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T. Ando, K. Takahashi (1997)
Annales Polonici Mathematici
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We show a polynomially boundend operator T is similar to a unitary operator if there is a singular unitary operator W and an injection X such that XT = WX. If, in addition, T is of class , then T itself is unitary.
Lingaraj Sahu, Kalyan B. Sinha (2010)
Annales de l'I.H.P. Probabilités et statistiques
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This is a continuation of the earlier work ( (2009) 745–785) to characterize unitary stationary independent increment gaussian processes. The earlier assumption of uniform continuity is replaced by weak continuity and with technical assumptions on the domain of the generator, unitary equivalence of the process to the solution of an appropriate Hudson–Parthasarathy equation is proved.