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Convergence of the iterated Aluthge transform sequence for diagonalizable matrices |
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| Authors: | Jorge Antezana Enrique R Pujals Demetrio Stojanoff |
| Institution: | a Depto. de Matemática, FCE-UNLP, La Plata, Argentina b IAM-CONICET, Argentina c Instituto Nacional de Matemática Pura y Aplicada (IMPA), Rio de Janeiro, Brazil |
| Abstract: | Given an r×r complex matrix T, if T=U|T| is the polar decomposition of T, then, the Aluthge transform is defined by Δ(T)=|T|1/2U|T|1/2. |
| Keywords: | primary 37D10 secondary 15A60 |
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