@article{cfb295d4706a480cbe43b5b5d4f28d84,
title = "N–fold Jordan product commuting maps with a λ –aluthge transform",
abstract = "Let B(H) be the set of all bounded linear operators from H to H, whereH is a complex Hilbert space. In this paper, we study the properties of T when the λ -Aluthge transform of Tn is T. Also we prove that the bijective map Φ:B(H)→B(K) commutes with a λ -Aluthge transform under the n-fold jordan product if and only if there exists an unitary operator U :H→K such that Φ(T)=UTU∗ for every T in B(H).",
keywords = "Polar decomposition, Quasi-normal operators, λ-Aluthge transform",
author = "Younjin Kim and Eungil Ko",
note = "Funding Information: The first author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2017R1A6A3A04005963). The second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2016R1D1A1B03931937). Publisher Copyright: {\textcopyright} 2020, Element D.O.O.. All rights reserved.",
year = "2020",
doi = "10.7153/oam-2020-14-24",
language = "English",
volume = "14",
pages = "305--316",
journal = "Operators and Matrices",
issn = "1846-3886",
publisher = "Element d.o.o.",
number = "2",
}