THE SPECTRUM OF CONTRACTIVE
OPERATORS ON $\[{\pi _k}\]$ |
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Authors: | Chen Xiaoman |
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Institution: | Institute of Mathematies, Fudan University, Shanghai, China. |
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Abstract: | In this paper, it is shown that, for a contraction on $\{\pi _k}\]$, the intersection of its spectrum with the exterior of the unit disk is a finite set of isolated eigenvalues, each of which has finite multplicity. Futhermore some relations between its spectrum and the
spectrum of its minimal unitary dilation are established. |
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Keywords: | |
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