The λ-Aluthge transform and its applications to some classes of operators | Zendy

Sohir Zid | Zendy; Safa Menkad | Zendy

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The 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.

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