Title of article
On weakly unitarily invariant norm and the Aluthge transformation
Author/Authors
K. Okubo and Y. Ito، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
7
From page
369
To page
375
Abstract
In this paper we show that where , • is a semi-norm on which satisfies some conditions, T=UP (polar decomposition), 0 λ 1 and f is a polynomial. As a consequence of this fact, we will show that some semi-norms • including the ρ-radii (0<ρ 2) satisfy the inequality f(PλUP1−λ) f(T) . We also give some related results.
Keywords
?-Aluthge transformation , Aluthge transformation , Weakly unitarily invariant norm , Operatorradii , numerical range
Journal title
Linear Algebra and its Applications
Serial Year
2003
Journal title
Linear Algebra and its Applications
Record number
824048
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