Abstract
We introduce the class of quasi-2-isometric operators on Hilbert space. This class extends the classes of 2-isometric operators due to Agler and Stankus and quasi-isometries by S.M.Patel. An operator T on a complex Hilbert space is called quasi-2-isometry if In the present article, we give operator matrix representation of quasi-2-isometric operator in order to obtain spectral properties of this operator.
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