@Article{CMR-40-3,
author = {Wang, Cun and Yu, Meng and Minyi, Liang},
title = {Invariance of Conjugate Normality Under Similarity},
journal = {Communications in Mathematical Research },
year = {2024},
volume = {40},
number = {3},
pages = {245--260},
abstract = {<p style="text-align: justify;">An operator $T$ on a separable, infinite dimensional, complex Hilbert
space $\mathcal{H}$ is called conjugate normal if $C|T|C = |T^∗|$ for some conjugate linear,
isometric involution $C$ on $\mathcal{H}.$ This paper focuses on the invariance of conjugate
normality under similarity. Given an operator $T,$ we prove that every operator $A$ similar to $T$ is conjugate normal if and only if there exist complex numbers $λ_1$, $λ_2$ such that $(T−λ_1)(T−λ_2)=0.$</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2024-0002},
url = {https://global-sci.com/article/90982/invariance-of-conjugate-normality-under-similarity}
}