On (m, C)-Isometric Operators

Muneo Chō; Eungil Ko; Ji Eun Lee

doi:10.1007/s11785-016-0549-0

On (m, C)-Isometric Operators

Muneo Chō, Eungil Ko, Ji Eun Lee

Department of Mathematics

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

26 Scopus citations

Abstract

In this paper we study the spectral properties of (m, C)-isometric operators. In particular, if T∈ L(H) is (m, C)-isometric operators, then the power of (m, C)-isometric operators is also (m, C)-isometric operators. Moreover, if T^∗ has the single-valued extension property, then T has the single-valued extension property. Finally, we investigate conditions for (m, C)-isometric operators to be (1, C)-isometric operators.

Original language	English
Pages (from-to)	1679-1694
Number of pages	16
Journal	Complex Analysis and Operator Theory
Volume	10
Issue number	8
DOIs	https://doi.org/10.1007/s11785-016-0549-0
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.

Keywords

(m, C)-Isometric operator
Conjugation operator
Single-valued extension property

Access to Document

10.1007/s11785-016-0549-0

Cite this

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AB - In this paper we study the spectral properties of (m, C)-isometric operators. In particular, if T∈ L(H) is (m, C)-isometric operators, then the power of (m, C)-isometric operators is also (m, C)-isometric operators. Moreover, if T∗ has the single-valued extension property, then T has the single-valued extension property. Finally, we investigate conditions for (m, C)-isometric operators to be (1, C)-isometric operators.

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