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http://dx.doi.org/10.4134/BKMS.2015.52.4.1269

SKEW COMPLEX SYMMETRIC OPERATORS AND WEYL TYPE THEOREMS  

KO, EUNGIL (DEPARTMENT OF MATHEMATICS EWHA WOMANS UNIVERSITY)
KO, EUNJEONG (DEPARTMENT OF MATHEMATICS EWHA WOMANS UNIVERSITY)
LEE, JI EUN (DEPARTMENT OF MATHEMATICS-APPLIED STATISTICS SEJONG UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1269-1283 More about this Journal
Abstract
An operator $T{{\in}}{\mathcal{L}}({\mathcal{H}})$ is said to be skew complex symmetric if there exists a conjugation C on ${\mathcal{H}}$ such that $T=-CT^*C$. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.
Keywords
skew complex symmetric operator; subspace-hypercyclicity; Weyl type theorems;
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