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ON BACKWARD ALUTHGE ITERATES OF COMPLEX SYMMETRIC OPERATORS
- Title
- ON BACKWARD ALUTHGE ITERATES OF COMPLEX SYMMETRIC OPERATORS
- Authors
- Ko, Eungil; Lee, Ji Eun; Lee, Mee-Jung
- Ewha Authors
- 고응일; 이미정
- SCOPUS Author ID
- 고응일; 이미정
- Issue Date
- 2022
- Journal Title
- MATHEMATICAL INEQUALITIES & APPLICATIONS
- ISSN
- 1331-4343
- Citation
- MATHEMATICAL INEQUALITIES & APPLICATIONS vol. 25, no. 2, pp. 379 - 395
- Keywords
- Backward Aluthge iterate; complex symmetric operator; second keyword; nilpotent operator; hyperinvariant subspace; Weyl's type theorem
- Publisher
- ELEMENT
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- For a nonnegative integer k, an operator T is an element of L(H) is called a backward Aluthge iterate of a complex symmetric operator of order k if the kth Aluthge iterate (T) over tilde ((k)) of T is a complex symmetric operator, denoted by T is an element of BAIC(k). In this paper, we study several properties of the backward Aluthge iterate of a complex symmetric operator. We show that every nilpotent operator of order k + 2 belongs to BAIC(k). Moreover. we prove that if T belongs to BAIC(k), then T has the property (beta) if and only if T is decomposable. Finally, we show that. under some conditions. operators in BAIC(k) have nontrivial hyperinvariant subspaces and we consider Weyl type theorems for such operators.
- DOI
- 10.7153/mia-2022-25-23
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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