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ON m-ISOMETRIC TOEPLITZ OPERATORS
Ko, Eungil,Lee, Jongrak Korean Mathematical Society 2018 대한수학회보 Vol.55 No.2
In this paper, we study m-isometric Toeplitz operators $T_{\varphi}$ with rational symbols. We characterize m-isometric Toeplitz operators $T_{\varphi}$ by properties of the rational symbols ${\varphi}$. In addition, we give a necessary and sufficient condition for Toeplitz operators $T_{\varphi}$ with analytic symbols ${\varphi}$ to be m-expansive or m-contractive. Finally, we give some results for m-expansive and m-contractive Toeplitz operators $T_{\varphi}$ with trigonometric polynomial symbols ${\varphi}$.
A characterization of binormal matrices
Ko, Eungil,Kwon, Hyun-Kyoung,Lee, Ji Eun Informa UK (TaylorFrancis) 2018 Linear & multilinear algebra Vol.66 No.6
<P>We give a characterization of binormal operator matrices, and in particular, a description of nxn binormal Toeplitzmatrices for n = 2, 3. Non-trivial examples of binormalmatrices that are not normal are also provided.</P>