Masatoshi Ito, Takeaki Yamazaki, Masahiro Yanagida
Abstract
Let T = U|T| be the polar decomposition of a bounded linear operator T on a Hilbert space. The transformation e T = |T| 1 2U|T| 1 2 is called the Aluthge transformation and e Tn means the n-th Aluthge transformation. In this paper, firstly, we show that e
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Let T = U|T| be the polar decomposition of a bounded linear operator T on a Hilbert space. The transformation e T = |T| 1 2U|T| 1 2 is called the Aluthge transformation and e Tn means the n-th Aluthge transformation. In this paper, firstly, we show that e
Key concepts: Polar decomposition, Mathematics, Transformation (genetics), Linear map, Hilbert space, Bounded operator, Decomposition, Pure mathematics