(∞,C)-isometric operators

Muneo Chō, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish
Pages (from-to)793-806
Number of pages14
JournalOperators and Matrices
Volume11
Issue number3
DOIs
StatePublished - Sep 2017

Keywords

  • (∞,C)-isometric operator
  • M-isometric operator
  • Quasinilpotent operator

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