Convergence of Aluthge iteration in semisimple Lie groups

Tin-Yau Tam; Mary Clair Thompson

doi:10.2969/jmsj/06641127

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Convergence of Aluthge iteration in semisimple Lie groups

Tin-Yau Tam, Mary Clair Thompson

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Keywords: Aluthge transform, Aluthge iteration, semisimple Lie group, Cartan decomposition

JOURNAL FREE ACCESS

2014 Volume 66 Issue 4 Pages 1127-1131

DOI https://doi.org/10.2969/jmsj/06641127

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Abstract

We extend the λ-Aluthge sequence convergence theorem of Antezana, Pujals and Stojanoff in the context of real noncompact connected semisimple Lie groups.

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