View : 107 Download: 0

PROPERTIES OF COMPLEX SYMMETRIC OPERATORS

Title
PROPERTIES OF COMPLEX SYMMETRIC OPERATORS
Authors
Jung, SungeunKo, EungilLee, Ji Eun
Ewha Authors
고응일이지은
SCOPUS Author ID
고응일scopus
Issue Date
2014
Journal Title
OPERATORS AND MATRICES
ISSN
1846-3886JCR Link
Citation
vol. 8, no. 4, pp. 957 - 974
Keywords
complex symmetric operatorbiquasitriangularweakly hypercyclicWeyl type theorem
Publisher
ELEMENT
Indexed
SCIE; SCOPUS WOS
Abstract
An operator T is an element of L(H) is said to be complex symmetric if there exists a conjugation C on H such that T = CT*C. In this paper, we prove that every complex symmetric operator is biquasitriangular. Also, we show that if a complex symmetric operator T is weakly hypercyclic, then both T and T* have the single-valued extension property and that if T is a complex symmetric operator which has the property (delta), then Weyl's theorem holds for f (T) and f (T)* where f is any analytic function in a neighborhood of sigma(T). Finally, we establish equivalence relations among Weyl type theorems for complex symmetric operators.
DOI
10.7153/oam-08-53
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE