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A criterion on the hyponormality of Toeplitz operators with polynomial symbols via Schur numbers

2014.03.24 19:16

실적년도	2011 년
논문구분	국외
총저자	Dong-O Kang Woo Young Lee
학술지명	Linear Algebra and Its Applications
권(Vol.)	436
호(No.)	9
게재년월	년 월
Impact Factor
SCI 등재	SCI
비고

In this paper we give a complete characterization on the
hyponormality of the Toeplitz operators $T_varphi$ with
trigonometric polynomial symbols $varphi=overline g+h$ $(g,hin
H^2)$ when $g$ divides $h$. This is accomplished by using a criterion
on the contractivity of the inverse of a lower triangular (finite)
Toeplitz matrix via Schur numbers of an induced analytic polynomial.

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