Heinz and McIntosh inequalities, Aluthge transformation and the spectral radius

Derming Wang

Mathematical Inequalities & Applications · 2003 · 12 citations · 2 references

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Abstract

Employing Heinz and McIntosh inequalities, this paper presents a simplified proof of Yamazaki's characterization of the spectral radius: If T n is the n -th Aluthge transformation of a bounded linear operator T , then the sequence {||T n ||} n=0 converges to the spectral radius of T.

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