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A Gap between Hyponormality and Subnormality for Block Toeplitz Operators

2014.03.24 18:47

실적년도	2011 년
논문구분	국외
총저자	Woo Young Lee, I.S. Woo Young Lee
학술지명	J. Math. Anal. Appl.
권(Vol.)
호(No.)
게재년월	년 월
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비고

This paper concerns a gap between hyponormality and subnormality for
block Toeplitz operators. We show that there is no gap between
2-hyponormality and subnormality for a certain class of
trigonometric block Toeplitz operators (e.g., its co-analytic outer
coefficient is invertible). In addition we consider the extremal
cases for the hyponormality of trigonometric block Toeplitz
operators: in this case, hyponormality and normality coincide.

20110509112616_JMAA-11-631.pdf [File Size:196.4KB/Download:68]

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