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(∞,C)-isometric operators

초록/요약

In this paper we study properties of (∞,C)-isometric operators. In particular, we prove that if T is an (∞,C)-isometry and Q is a quasinilpotent operator, then T + Q is an (∞,C)-isometry under suitable conditions. Moreover, we show that the class of (∞,C)-isometric operators is norm closed. Finally, we investigate properties of products and tensor products of (∞,C)-isometric operators. © 2017, Element D.O.O. All rights reserved.

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