@article{733a88efc09d4f9e8a6f7737c843e39c,
title = "On solutions of operator equations satisfying the similarity of real and positive parts",
abstract = "Let (Formula presented.) and (Formula presented.) be the polar decompositions of S and T in (Formula presented.), respectively. In this paper we study solutions of operator equations which have similar real and positive parts with both the similarities implemented by a single invertible operator. Moreover, we investigate various properties of such solutions S and T.",
keywords = "Similarity of real and positive parts, and hyponormal operators, normal, quasinormal",
author = "Eungil Ko and Lee, {Yoon Kyeong}",
note = "Funding Information: This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (2019R1F1A1058633) and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2019R1A6A1A11051177). The authors wish to thank the referee for a careful reading and valuable comments and suggestions for the original draft. Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2022",
doi = "10.1080/03081087.2020.1834494",
language = "English",
volume = "70",
pages = "3271--3286",
journal = "Linear and Multilinear Algebra",
issn = "0308-1087",
publisher = "Taylor and Francis Ltd.",
number = "17",
}