(∞,C)-isometric operators

Type: Article

Publication Date: 2017-01-01

Citations: 6

DOI: https://doi.org/10.7153/oam-11-56

Abstract

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.

Locations

  • Operators and Matrices - View - PDF

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