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).
Original language | English |
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Pages (from-to) | 305-316 |
Number of pages | 12 |
Journal | Operators and Matrices |
Volume | 14 |
Issue number | 2 |
DOIs | |
State | Published - 2020 |
Bibliographical note
Publisher Copyright:© 2020, Element D.O.O.. All rights reserved.
Keywords
- Polar decomposition
- Quasi-normal operators
- λ-Aluthge transform