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ERRATA FOR "POSINORMAL TERRACED MATRICES"
Rhaly, H. Crawford Jr. Korean Mathematical Society 2018 대한수학회보 Vol.55 No.2
Corrections are made for some examples following Theorem 2.2 in Posinormal terraced matrices, Bull. Korean Math. Soc. 46 (2009), no. 1, 117-123.
Errata for ``Posinormal terraced matrices"
H. Crawford Rhaly Jr. 대한수학회 2018 대한수학회보 Vol.55 No.2
Corrections are made for some examples following Theorem $2.2$ in {\it Posinormal terraced matrices}, Bull. Korean Math. Soc. {\bf 46} (2009), no. 1, 117--123.
Rhaly, H. Crawford, Jr. Korean Mathematical Society 2009 대한수학회보 Vol.46 No.1
This paper is a study of some properties of a collection of bounded linear operators resulting from terraced matrices M acting through multiplication on ${\ell}^2$; the term terraced matrix refers to a lower triangular infinite matrix with constant row segments. Sufficient conditions are found for M to be posinormal, meaning that $MM^*=M^*PM$ for some positive operator P on ${\ell}^2$; these conditions lead to new sufficient conditions for the hyponormality of M. Sufficient conditions are also found for the adjoint $M^*$ to be posinormal, and it is observed that, unless M is essentially trivial, $M^*$ cannot be hyponormal. A few examples are considered that exhibit special behavior.
H. Crawford Rhaly, Jr. 대한수학회 2009 대한수학회보 Vol.46 No.1
This paper is a study of some properties of a collection of bounded linear operators resulting from terraced matrices M acting through multiplication on ℓ^2; the term terraced matrix refers to a lower triangular infinite matrix with constant row segments. Sufficient conditions are found for M to be posinormal, meaning that MM^*=M^*PM for some positive operator P on ℓ^2; these conditions lead to new sufficient conditions for the hyponormality of M. Sufficient conditions are also found for the adjoint M^* to be posinormal, and it is observed that, unless M is essentially trivial, M^* cannot be hyponormal. A few examples are considered that exhibit special behavior.