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Crystal complex symmetric operators
- Title
- Crystal complex symmetric operators
- Authors
- Ko, Eungil; Lee, Ji Eun; Lee, Mee-Jung
- Ewha Authors
- 고응일; 이미정
- SCOPUS Author ID
- 고응일; 이미정
- Issue Date
- 2020
- Journal Title
- BANACH JOURNAL OF MATHEMATICAL ANALYSIS
- ISSN
- 2662-2033
1735-8787
- Citation
- BANACH JOURNAL OF MATHEMATICAL ANALYSIS vol. 14, no. 4, pp. 1711 - 1727
- Keywords
- Weak crystal operator; Crystal operator; Crystal-like operator; Complex symmetric operator; Aluthge transform; Invariant subspace
- Publisher
- SPRINGER BASEL AG
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- In this paper, we study properties of weak crystal operators. In particular, we show that if T is an element of L(H) is a complex symmetric operator, then T is weak crystal, crystal, or crystal-like if and only if T* is weak crystal, crystal, or crystal-like, respectively. Moreover, we prove that if T is a quasiaffinity, then T is weak crystal if and only if the Aluthge transform (T) over tilde (or the Duggal transform (T) over tilde (D)) of T is weak crystal. Finally, we give several applications of these results.
- DOI
- 10.1007/s43037-020-00078-7
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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