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math.FA2016★ 1 cited
Jordan product commuting maps with -Aluthge transform
F Chabbabi, M Mbekhta
Let H and K be two complex Hilbert spaces and B(H) be the algebra of bounded linear operators from H into itself. The main purpose in this paper is to obtain a characterization of…
math.FA2016
New formulas for the spectral radius via Aluthge transform
Fadil Chabbabi, Mostafa Mbekhta
In this paper we give several expressions of spectral radius of a bounded operator on a Hilbert space, in terms of iterates of Aluthge transformation, numerical radius and the asym…