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(โˆž,C)-isometric operators

(โˆž,C)-isometric operators

In this paper we study properties of (โˆž,C) -isometric operators.In particular, we prove that if T is an (โˆž,C) -isometry and Q is a quasinilpotent operator, then T + Q is an (โˆž,C) -isometry under suitable conditions.Moreover, we show that the class of (โˆž,C) -isometric operators is norm closed.Finally, we โ€ฆ