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http://dx.doi.org/10.4134/BKMS.b190054

ON OPERATORS T COMMUTING WITH CT C WHERE C IS A CONJUGATION  

Cho, Muneo (Department of Mathematics Kanagawa University)
Ko, Eungil (Department of Mathematics Ewha Womans University)
Lee, Ji Eun (Department of Mathematics and Statistics Sejong University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.1, 2020 , pp. 69-79 More about this Journal
Abstract
In this paper, we study the properties of T satisfying [CTC, T] = 0 for some conjugation C where [R, S] := RS - SR. In particular, we show that if T is normal, then [CTC, C] = 0. Moreover, the class of operators T satisfy [CTC, T] = 0 is norm closed. Finally, we prove that if T is complex symmetric, then T is binormal if and only if [C|T|C, |T|] = 0.
Keywords
Conjugation operator; complex symmetric operator; normal operator;
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Times Cited By KSCI : 2  (Citation Analysis)
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