𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the unitarily invariant decomposition of Hermitian operators

✍ Scribed by Chia-Chung Sun; Xue-Qui Li; Au-Chin Tang

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
339 KB
Volume
25
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Invariant operators on manifolds with al
Invariant operators on manifolds with almost Hermitian symmetric structures, III. Standard operators
✍ Andreas Čap; Jan SlovΓ‘k; Vladimı́r Souček πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 245 KB

This paper demonstrates the power of the calculus developed in the two previous parts of the series for all real forms of the almost Hermitian symmetric structures on smooth manifolds, including, e.g., conformal Riemannian and almost quaternionic geometries. Exploiting some finite-dimensional repres

On weakly unitarily invariant norm and t
On weakly unitarily invariant norm and the Ξ»-Aluthge transformation for invertible operator
✍ Kazuyoshi Okubo πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 96 KB

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 Ξ» BUP 1-Ξ» ||| |||BT |||, where ||| β€’ ||| is a weakly unitarily invariant norm on B(H) and 0 Ξ» 1. As the consequence of this result, we have |||f (P Ξ» UP 1-Ξ» )||| |||f

Perturbation bounds for weighted polar d
Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm
✍ Hu Yang; Hanyu Li πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 132 KB

## 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