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On local spectral properties of operator matrices
- Title
- On local spectral properties of operator matrices
- Authors
- An, Il Ju; Ko, Eungil; Lee, Ji Eun
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2021
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- ISSN
- 1029-242X
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS vol. 2021, no. 1
- Keywords
- 2 x 2 operator matrices; Hyperinvariant subspace; The single-valued extension property; The property (beta); Decomposable; Weyl's theorem
- Publisher
- SPRINGER
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- In this paper, we focus on a 2 x 2 operator matrix T-epsilon k as follows: T-epsilon k = (GRAPHICS), where epsilon(k) is a positive sequence such that lim(k ->infinity) epsilon(k) = 0. We first explore how T-epsilon k has several local spectral properties such as the single-valued extension property, the property (beta), and decomposable. We next study the relationship between some spectra of T-epsilon k and spectra of its diagonal entries, and find some hypotheses by which T-epsilon k satisfies Weyl's theorem and a-Weyl's theorem. Finally, we give some conditions that such an operator matrix T-epsilon k has a nontrivial hyperinvariant subspace.
- DOI
- 10.1186/s13660-021-02697-6
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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