Some properties of (m;C)-isometric operators

Haiying Li


In this paper, we study if T is an (m;C)-isometric operator and CTC commutes with T, then T is an (m;C)-isometric operator. we also study local spectral properties and spectral relations of (m;C)-isometric operators, such as property (), decomposability, the single-valued extension property and Dunford’s boundedness. We also study perturbation of (m;C)-isometric operators by nilpotent operators and by algebraic operators and give some properties.


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