On m-complex symmetric weighted shift operators on C^n
Publication Date
10-15-2020
Description
In this paper we study m-complex symmetric weighted shift operators on C^n. Let T be the (backward) weighted shift on C^n for some n >=2 . We consider when T and T_a (the matrix of entries the moduli of those of T) are both m-complex symmetric with the (same) standard conjugation C, give as well some unitary operators useful in the study, and generalize to upper triangular matrices. Also, we show that if T is 2k-complex symmetric with the standard conjugation C for some k in N with k < n, then T is (2k-1)-complex symmetric with the conjugation C.
Journal
Linear Algebra and its Applications
Volume
603
First Page
130
Last Page
153
Department
Mathematics
Link to Published Version
https://www.sciencedirect.com/science/article/pii/S0024379520302688#!
DOI
https://doi.org/10.1016/j.laa.2020.05.030
Recommended Citation
Exner, George R.; Jin, Jooyoung; Jung, Il Bong; and Lee, Ji Eun. "On m-complex symmetric weighted shift operators on C^n." (2020) : 130-153.