SU\G(𝔸)/K·U

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Generalizations of the Aluthge transform of operators

Generalizations of the Aluthge transform of operators

Let A be an operator with the polar decomposition A = U|A|. The Aluthge transform of the operator A, denoted by ?, is defined as ? = |A|1/2U |A|1/2. In this paper, first we generalize the definition of Aluthge transformfor non-negative continuous functions f,g such that f(x)g(x) = x (x …