Open AccessOn rank one perturbations of complex symmetric operators
Author(s) -
Eungil Ko,
Ji Eun Lee
Publication year - 2015
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1508795k
Subject(s) - mathematics , rank (graph theory) , pure mathematics , algebra over a field , combinatorics
In this paper we study the decomposability of rank one perturbations of complex symmetric operators $R=T+ u\otimes v$. Also we investigate some conditions for which $R$ satisfies $a$-Weyl's theorem. Finally, we characterize some conditions for $R$ to be hyponormal. As consequences, we provide several cases for such operators.
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