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On the evaluation of spectral projections onto absolutely continuous parts of a contraction


Author: Alexey V. Rybkin
Journal: Proc. Amer. Math. Soc. 112 (1991), 451-455
MSC: Primary 47A30; Secondary 47A20, 47A45
DOI: https://doi.org/10.1090/S0002-9939-1991-1045149-2
MathSciNet review: 1045149
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Abstract: In terms of the characteristic function of the contraction the norms of the spectral projections onto its absolutely continuous component are evaluated. The row of examples is considered. The exposition is conducted in the framework of the Sz.-Nagy-Foias model.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1045149-2
Keywords: Contraction, characteristic operator-valued function, functional model spectral projection, boundary behaviour
Article copyright: © Copyright 1991 American Mathematical Society

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