Another unitarily invariant norm attaining the minimum norm bound for commutators
โ Scribed by Kin-Sio Fong; Che-Man Cheng; Io-Kei Lok
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 126 KB
- Volume
- 433
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract In this paper, by generalizing the ideas of the (generalized) polar decomposition to the weighted polar decomposition and the unitarily invariant norm to the weighted unitarily invariant norm, we present some perturbation bounds for the generalized positive polar factor, generalized non
Let T โ B(H) be an invertible operator with polar decomposition T = UP and B โ B(H) commute with T . In this paper we prove that |||P ฮป BUP 1-ฮป ||| |||BT |||, where ||| โข ||| is a weakly unitarily invariant norm on B(H) and 0 ฮป 1. As the consequence of this result, we have |||f (P ฮป UP 1-ฮป )||| |||f