NUMERICAL RANGE AND PONCELET PROPERTY
Copyright policy )NUMERICAL RANGE AND PONCELET PROPERTY
This expository article gives an account of the recent developments on the Poncelet property for numerical ranges of the compressions of the shift~\(S(\phi)\). It can be considered as an updated and more advanced edition of the recent expository article published by \textit{P. Y. Wei} [Am. Math. Mon. 107, No. 6, 528--540 (2000; Zbl 0985.51016)]. The purpose of this paper is to update the previous account by providing a simplified approach and expanding the recent discoveries.
47A12, Poncelet property, 14H99, unitary dilation, 15A60, Numerical range, numerical radius, Norms of matrices, numerical range, applications of functional analysis to matrix theory, numerical range, Curves in algebraic geometry, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
47A12, Poncelet property, 14H99, unitary dilation, 15A60, Numerical range, numerical radius, Norms of matrices, numerical range, applications of functional analysis to matrix theory, numerical range, Curves in algebraic geometry, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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