Abstract
The class of isometric operators has been extended to m-isometries, quasi-m-isometries, n-quasi-m-isometries, m-expansive and n-quasi-m-expansive operators. In this paper, we extend the above classes to a new class of operators which we call n-quasi- ( m , C ) -expansive operators and we present some properties of n-quasi- ( m , C ) -expansive operators. Some properties of n-quasi-m-expansive unilateral weighted shifts in semi-Hilbertian spaces are also presented.
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