Displaying similar documents to “Unitary dilations of contraction operators”

Unitary dilation for polar decompositions of p-hyponormal operators

Muneo Chō, Tadasi Huruya, Kôtarô Tanahashi (2005)

Banach Center Publications

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In this paper, we introduce the angular cutting and the generalized polar symbols of a p-hyponormal operator T in the case where U of the polar decomposition T = U|T| is not unitary and study spectral properties of it.

On Connection between Characterestic Functions and the Caratheodori Class Functions

Zolotarev, Vladimir A., Hatamleh, Raéd (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 47A65, 45S78. Connection of characteristic functions S(z) of nonunitary operator T with the functions of Caratheodori class is established. It was demonstrated that the representing measures from integral representation of the function of Caratheodori's class are defined by restrictions of spectral measures of unitary dilation, of a restricted operator T on the corresponding defect subspaces.