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THE SPECTRUM OF CONTRACTIVE OPERATORS ON π_k

THE SPECTRUM OF CONTRACTIVE OPERATORS ON π_k
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摘要 In this paper, it is shown that, for a contraction on π_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. In this paper, it is shown that, for a contraction on π_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.
作者 陈晓漫
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1989年第4期480-485,共6页 数学年刊(B辑英文版)
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