Remarks on nearly equivalent operators

Eungil Ko; Mee Jung Lee

doi:10.7153/OAM-2018-12-33

Remarks on nearly equivalent operators

Eungil Ko, Mee Jung Lee

Department of Mathematics

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

1 Scopus citations

Abstract

An operator S ∈ L (H) is said to be nearly equivalent to T if there exists an invertible operator V ∈ L (H) such that S*S = V⁻¹T*TV. In this paper, we study several properties of nearly equivalent operators, and investigate their local spectral properties and invariant subspaces.

Original language	English
Pages (from-to)	537-547
Number of pages	11
Journal	Operators and Matrices
Volume	12
Issue number	2
DOIs	https://doi.org/10.7153/OAM-2018-12-33
State	Published - Jun 2018

Bibliographical note

Publisher Copyright:
© 2018, Element D.O.O.. All rights reserved.

Keywords

Invariant subspace
Local spectral property
Nearly equivalent operators

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10.7153/OAM-2018-12-33

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title = "Remarks on nearly equivalent operators",

abstract = "An operator S ∈ L (H) is said to be nearly equivalent to T if there exists an invertible operator V ∈ L (H) such that S*S = V−1T*TV. In this paper, we study several properties of nearly equivalent operators, and investigate their local spectral properties and invariant subspaces.",

keywords = "Invariant subspace, Local spectral property, Nearly equivalent operators",

author = "Eungil Ko and Lee, \{Mee Jung\}",

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AU - Lee, Mee Jung

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N2 - An operator S ∈ L (H) is said to be nearly equivalent to T if there exists an invertible operator V ∈ L (H) such that S*S = V−1T*TV. In this paper, we study several properties of nearly equivalent operators, and investigate their local spectral properties and invariant subspaces.

AB - An operator S ∈ L (H) is said to be nearly equivalent to T if there exists an invertible operator V ∈ L (H) such that S*S = V−1T*TV. In this paper, we study several properties of nearly equivalent operators, and investigate their local spectral properties and invariant subspaces.

KW - Invariant subspace

KW - Local spectral property

KW - Nearly equivalent operators

UR - https://www.scopus.com/pages/publications/85054098280

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DO - 10.7153/OAM-2018-12-33

M3 - Article

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SN - 1846-3886

VL - 12

SP - 537

EP - 547

JO - Operators and Matrices

JF - Operators and Matrices

IS - 2

ER -

Remarks on nearly equivalent operators

Abstract

Bibliographical note

Keywords

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