Open AccessSkew m-complex symmetric operators
Author(s) -
Muneo Chō,
Eungil Ko,
Eun Ji Lee
Publication year - 2019
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/fil1910975c
Subject(s) - skew , mathematics , skew symmetric matrix , operator (biology) , pure mathematics , combinatorics , symmetric matrix , physics , computer science , telecommunications , chemistry , quantum mechanics , biochemistry , eigenvalues and eigenvectors , repressor , transcription factor , square matrix , gene
In this paper we study skew m-complex symmetric operators. In particular, we show that if T ? L(H) is a skew m-complex symmetric operator with a conjugation C, then eitT , e-itT , and e-itT* are (m,C)-isometric for every t ? R. Moreover, we examine some conditions for skew m-complex symmetric operators to be skew (m-1)-complex symmetric.