Open AccessThe λ-Aluthge transform and its applications to some classes of operators
Author(s) -
Sohir Zid,
Safa Menkad
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2201289z
Subject(s) - mathematics , polar decomposition , invertible matrix , hilbert space , bounded operator , pure mathematics , intersection (aeronautics) , operator (biology) , bounded function , polar , mathematical analysis , biochemistry , chemistry , physics , repressor , astronomy , transcription factor , engineering , gene , aerospace engineering
Let T ? B(H) be a bounded linear operator on a Hilbert space H, and let T = U|T| be its polar decomposition. Then, for every ? ? [0,1] the ?-Aluthge transform of T is defined by ??(T) = |T|?U|T|1-?. In this paper, we characterize the invertible, binormal, and EP operators and its intersection with a special class of introduced operators via the ?-Aluthge transform.