Local spectral property of 2 × 2 operator matrices

Eungil Ko

doi:10.2298/FIL1907845K

Local spectral property of 2 × 2 operator matrices

Eungil Ko

Department of Mathematics

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

1 Scopus citations

Abstract

In this paper we study the local spectral properties of 2 × 2 operator matrices. In particular, we show that every 2 × 2 operator matrix with three scalar entries has the single valued extension property. Moreover, we consider the spectral properties of such operator matrices. Finally, we show that some of such operator matrices are decomposable.

Original language	English
Pages (from-to)	1845-1854
Number of pages	10
Journal	Filomat
Volume	33
Issue number	7
DOIs	https://doi.org/10.2298/FIL1907845K
State	Published - 2019

Bibliographical note

Funding Information:
2010 Mathematics Subject Classification. Primary 47B20; Secondary 47A10 Keywords. SVEP, Bishop’s property (β), spectra Received: 13 May 2018; Accepted: 26 June 2019 Communicated by Dragan S Djordjević This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) grant funded by the Ministry of Education (2016R1D1A1B03931937). Email address: eiko@ewha.ac.kr (Eungil Ko)

Publisher Copyright:
© 2019, University of Nis. All rights reserved.

Keywords

Bishop’s property (β)
SVEP
Spectra

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10.2298/FIL1907845K

Cite this

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abstract = "In this paper we study the local spectral properties of 2 × 2 operator matrices. In particular, we show that every 2 × 2 operator matrix with three scalar entries has the single valued extension property. Moreover, we consider the spectral properties of such operator matrices. Finally, we show that some of such operator matrices are decomposable.",

keywords = "Bishop{\textquoteright}s property (β), SVEP, Spectra",

author = "Eungil Ko",

note = "Funding Information: 2010 Mathematics Subject Classification. Primary 47B20; Secondary 47A10 Keywords. SVEP, Bishop{\textquoteright}s property (β), spectra Received: 13 May 2018; Accepted: 26 June 2019 Communicated by Dragan S Djordjevi{\'c} This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) grant funded by the Ministry of Education (2016R1D1A1B03931937). Email address: eiko@ewha.ac.kr (Eungil Ko) Publisher Copyright: {\textcopyright} 2019, University of Nis. All rights reserved.",

year = "2019",

doi = "10.2298/FIL1907845K",

language = "English",

volume = "33",

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publisher = "Universitet of Nis",

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AU - Ko, Eungil

N1 - Funding Information: 2010 Mathematics Subject Classification. Primary 47B20; Secondary 47A10 Keywords. SVEP, Bishop’s property (β), spectra Received: 13 May 2018; Accepted: 26 June 2019 Communicated by Dragan S Djordjević This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) grant funded by the Ministry of Education (2016R1D1A1B03931937). Email address: eiko@ewha.ac.kr (Eungil Ko) Publisher Copyright: © 2019, University of Nis. All rights reserved.

PY - 2019

Y1 - 2019

N2 - In this paper we study the local spectral properties of 2 × 2 operator matrices. In particular, we show that every 2 × 2 operator matrix with three scalar entries has the single valued extension property. Moreover, we consider the spectral properties of such operator matrices. Finally, we show that some of such operator matrices are decomposable.

AB - In this paper we study the local spectral properties of 2 × 2 operator matrices. In particular, we show that every 2 × 2 operator matrix with three scalar entries has the single valued extension property. Moreover, we consider the spectral properties of such operator matrices. Finally, we show that some of such operator matrices are decomposable.

KW - Bishop’s property (β)

KW - SVEP

KW - Spectra

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U2 - 10.2298/FIL1907845K

DO - 10.2298/FIL1907845K

M3 - Article

AN - SCOPUS:85078239055

SN - 0354-5180

VL - 33

SP - 1845

EP - 1854

JO - Filomat

JF - Filomat

IS - 7

ER -

Local spectral property of 2 × 2 operator matrices

Abstract

Bibliographical note

Keywords

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