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

17 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

Keywords

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

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AU - Chō, Muneo

AU - Ko, Eungil

AU - Lee, Ji Eun

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Y1 - 2016/12/1

N2 - 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.

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.

KW - (m, C)-Isometric operator

KW - Conjugation operator

KW - Single-valued extension property

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DO - 10.1007/s11785-016-0549-0

M3 - Article

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EP - 1694

JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

SN - 1661-8254

IS - 8

ER -

On (m, C)-Isometric Operators

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Keywords

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