@article{927b3667d5c64641a950ab48a57705ca,
title = "On Analytic Roots of Hyponormal Operators",
abstract = "In this paper, we provide a condition under which analytic roots of hyponormal operators (defined below) have scalar extensions. As an application, we show that such analytic roots of hyponormal operators have nontrivial hyperinvariant subspaces. We also give some structures for analytic roots of hyponormal operators. Finally, we verify that the product of some analytic root of a hyponormal operator and an algebraic operator which are commuting is subscalar.",
keywords = "Analytic roots of hyponormal operators, invariant subspaces, subscalar operators",
author = "Sungeun Jung and Eungil Ko",
note = "Funding Information: The research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) Funded by the Ministry of Education, Science and Technology (2012R1A2A2A02008590). The S. Jung was supported by Hankuk University of Foreign Studies Research Fund and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2014R1A1A2056642). Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",
year = "2017",
month = oct,
day = "1",
doi = "10.1007/s00009-017-0998-3",
language = "English",
volume = "14",
journal = "Mediterranean Journal of Mathematics",
issn = "1660-5446",
publisher = "Birkhauser Verlag Basel",
number = "5",
}