This analysis reveals relationships between aluthge transforms and numerical ranges in Banach algebras.
Let H be a complex separable Hilbert space with and let B(H) be the Banach algebra of all bounded linear operators on H. In the present paper we characterize Aluthge transforms in Banach algebras. We considered classical and maximal numerical ranges of these transforms and finally we give their relationships.
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Okwany et al. (2020) studied this question.
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