Let T ∈ B(H) be an invertible operator with polar decomposition T = UP and B ∈ B(H) commute with T . In this paper we prove that |||P λ BUP 1-λ ||| |||BT |||, where ||| • ||| is a weakly unitarily invariant norm on B(H) and 0 λ 1. As the consequence of this result, we have |||f (P λ UP 1-λ )||| |||f
λ-Aluthge transforms and Schatten ideals
✍ Scribed by Jorge Antezana; Pedro Massey; Demetrio Stojanoff
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 329 KB
- Volume
- 405
- Category
- Article
- ISSN
- 0024-3795
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