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Characteristic operators and unitarily invariant decomposition of hermitian operators

โœ Scribed by Tang Au-Chin; Guo Hong


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
316 KB
Volume
23
Category
Article
ISSN
0020-7608

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On weakly unitarily invariant norm and t
โœ Kazuyoshi Okubo ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 96 KB

Let T โˆˆ B(H) be an invertible operator with polar decomposition T = UP and B โˆˆ B(H) commute with T . In this paper we prove that |||P ฮป BUP 1-ฮป ||| |||BT |||, where ||| โ€ข ||| 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