On ampliation quasiaffine transforms of operators

Eungil Ko

doi:10.4134/BKMS.b200473

On ampliation quasiaffine transforms of operators

Eungil Ko

Department of Mathematics

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

Abstract

In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator S in L(H) is an ampliation quasiaffine transform of an operator T in L(H).

Original language	English
Pages (from-to)	699-710
Number of pages	12
Journal	Bulletin of the Korean Mathematical Society
Volume	58
Issue number	3
DOIs	https://doi.org/10.4134/BKMS.b200473
State	Published - 2021

Bibliographical note

Funding Information:
Received May 27, 2020; Accepted March 10, 2021. 2010 Mathematics Subject Classification. Primary 47A11; Secondary 47A10, 47B20. Key words and phrases. Ampliation quasisimilarity, local spectral property, invariant subspace. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (2019R1F1A1058633) and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177).

Publisher Copyright:
©2021 Korean Mathematical Society.

Keywords

Ampliation quasisimilarity
Invariant subspace
Local spectral property

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10.4134/BKMS.b200473

Cite this

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abstract = "In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator S in L(H) is an ampliation quasiaffine transform of an operator T in L(H).",

keywords = "Ampliation quasisimilarity, Invariant subspace, Local spectral property",

author = "Eungil Ko",

note = "Funding Information: Received May 27, 2020; Accepted March 10, 2021. 2010 Mathematics Subject Classification. Primary 47A11; Secondary 47A10, 47B20. Key words and phrases. Ampliation quasisimilarity, local spectral property, invariant subspace. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (2019R1F1A1058633) and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177). Publisher Copyright: {\textcopyright}2021 Korean Mathematical Society.",

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N1 - Funding Information: Received May 27, 2020; Accepted March 10, 2021. 2010 Mathematics Subject Classification. Primary 47A11; Secondary 47A10, 47B20. Key words and phrases. Ampliation quasisimilarity, local spectral property, invariant subspace. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (2019R1F1A1058633) and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177). Publisher Copyright: ©2021 Korean Mathematical Society.

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AB - In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator S in L(H) is an ampliation quasiaffine transform of an operator T in L(H).

KW - Ampliation quasisimilarity

KW - Invariant subspace

KW - Local spectral property

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JF - Bulletin of the Korean Mathematical Society

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ER -

On ampliation quasiaffine transforms of operators

Abstract

Bibliographical note

Keywords

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