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Crystal complex symmetric operators

Title
Crystal complex symmetric operators
Authors
Ko, EungilLee, Ji EunLee, Mee-Jung
Ewha Authors
고응일이미정
SCOPUS Author ID
고응일scopus; 이미정scopusscopus
Issue Date
2020
Journal Title
BANACH JOURNAL OF MATHEMATICAL ANALYSIS
ISSN
2662-2033JCR Link

1735-8787JCR Link
Citation
BANACH JOURNAL OF MATHEMATICAL ANALYSIS vol. 14, no. 4, pp. 1711 - 1727
Keywords
Weak crystal operatorCrystal operatorCrystal-like operatorComplex symmetric operatorAluthge transformInvariant subspace
Publisher
SPRINGER BASEL AG
Indexed
SCIE; SCOPUS WOS 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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