Numerical range of S(φ)

Hwa Long Gau, Pei Yuan Wu

研究成果: 雜誌貢獻期刊論文同行評審

66 引文 斯高帕斯(Scopus)

摘要

We make a detailed study of the numerical ranges W(T) of completely nonunitary contractions T with the property rank (1-T*T)=1 on a finite-dimensional Hilbert space. We show that such operators are completely characterized by the Poncelet property of their numerical ranges, namely, an n-dimensional contraction T is in the above class if and only if for any point λ on the unit circle there is an (n+1)-gon which is inscribed in the unit circle, circumscribed about W(T) and has λ as a vertex. We also obtain a dual form of this property and the information on the inradii of numerical ranges of arbitrary finite-dimensional operators.

原文???core.languages.en_GB???
頁(從 - 到)49-73
頁數25
期刊Linear and Multilinear Algebra
45
發行號1
DOIs
出版狀態已出版 - 1998

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