An expression of spectral radius via Aluthge transformation

被引：54

作者：

Yamazaki, T ^{[1
]}

机构：

[1] Kanagawa Univ, Dept Math, Yokohama, Kanagawa 2218686, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 04期

关键词：

Aluthge transformation; Heinz inequality; spectral radius;

D O I：

10.1090/S0002-9939-01-06283-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an operator T is an element of B(H), the Aluthge transformation of T is defined by (T) over tilde = \T\1/ 2U\T\1/ 2. And also for a natural number n, then-th Aluthge transformation of T is defined by (T) over tilde (n) = ((Tn-1) over tilde and (T) over tilde (1) = (t) over tilde. In this paper, we shall show [GRAPHICS] where r(T) is the spectral radius.

引用

页码：1131 / 1137

页数：7

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