(∞,C)-isometric operators

Muneo Chō; Eungil Ko; Ji Eun Lee

doi:10.7153/oam-11-56

(∞,C)-isometric operators

Muneo Chō, Eungil Ko, Ji Eun Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Pages (from-to)	793-806
Number of pages	14
Journal	Operators and Matrices
Volume	11
Issue number	3
DOIs	https://doi.org/10.7153/oam-11-56
State	Published - Sep 2017

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© 2017, Element D.O.O. All rights reserved.

Keywords

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

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10.7153/oam-11-56

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AU - Ko, Eungil

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N2 - 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.

AB - 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.

KW - (∞,C)-isometric operator

KW - M-isometric operator

KW - Quasinilpotent operator

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ER -

(∞,C)-isometric operators

Abstract

Bibliographical note

Keywords

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