Geodesic
Conditions for factorable matrices to be hyponormal and dominant
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 261-265

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Sufficient conditions are given for a lower triangular factorable matrix $M$, acting as a bounded linear operator on $\ell^2$, to be hyponormal. Necessary conditions are given for $M$ to be a dominant operator on $\ell^2$. The results are then applied to several examples, including the H-J Cesàro operators, the q-Cesàro operators and other weighted mean matrices, and some Toeplitz matrices.
Keywords: hyponormal operator, dominant operator, weighted mean matrix.
Mots-clés : factorable matrix 
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     author = {H. C. Rhaly and jr. and B. E. Rhoades},
     title = {Conditions for factorable matrices to be hyponormal and dominant},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {261--265},
     publisher = {mathdoc},
     volume = {9},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a33/}
}
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H. C. Rhaly; jr.; B. E. Rhoades. Conditions for factorable matrices to be hyponormal and dominant. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 261-265. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a33/