Geodesic
The λ-Aluthge transform and its applications to some classes of operators
Filomat, Tome 36 (2022) no. 1, p. 289

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DOI

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 λ ∈ [0, 1] the λ-Aluthge transform of T is defined by ∆ λ (T) = |T| λ U|T| 1−λ. In this paper, we characterize the invertible, binormal, and EP operators and its intersection with a special class of introduced operators via the λ-Aluthge transform
DOI : 10.2298/FIL2201289Z
Classification : 47A05, 47B49
Keywords: Polar decomposition, binormal operators, closed range operators, λ-Aluthge transform, Moore-Penrose inverse 
Sohir Zid; Safa Menkad. The λ-Aluthge transform and its applications to some classes of operators. Filomat, Tome 36 (2022) no. 1, p. 289 . doi: 10.2298/FIL2201289Z
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