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POSINORMAL TERRACED MATRICES
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 Title & Authors
POSINORMAL TERRACED MATRICES
Rhaly, H. Crawford, Jr.;
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 Abstract
This paper is a study of some properties of a collection of bounded linear operators resulting from terraced matrices M acting through multiplication on ; 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 for some positive operator P on ; these conditions lead to new sufficient conditions for the hyponormality of M. Sufficient conditions are also found for the adjoint to be posinormal, and it is observed that, unless M is essentially trivial, cannot be hyponormal. A few examples are considered that exhibit special behavior.
 Keywords
matrix;terraced matrix;dominant operator;hyponormal operator;posinormal operator;
 Language
English
 Cited by
1.
REMARKS CONCERNING SOME GENERALIZED CES$\grave{A}$RO OPERATORS ON ${\ell}^2$,;

충청수학회지, 2010. vol.23. 3, pp.425-434
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