Spectral property of upper triangular relation matrices

Let H and K be infinite dimensional separable Hilbert spaces. For , and , we denote by the upper triangular relation matrix. In this paper, the sets , and are characterized, where and . Moreover, the relationship between , and is described for given relations , and under the local spectral theory.

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 70; no. 8; pp. 1526 - 1542
Main Authors Du, Yanyan, Huang, Junjie
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 24.05.2022
Taylor & Francis Ltd
Subjects
Hilbert space
Hilbert spaces
relation matrix
Spectral theory
spectrum
Online AccessGet full text
ISSN0308-1087
1563-5139
DOI10.1080/03081087.2020.1765956

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Summary:Let H and K be infinite dimensional separable Hilbert spaces. For , and , we denote by the upper triangular relation matrix. In this paper, the sets , and are characterized, where and . Moreover, the relationship between , and is described for given relations , and under the local spectral theory.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2020.1765956