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On some inequalities for unitarily invariant norms and singular values

โœ Scribed by Limin Zou; Chuanjiang He


Book ID
113772199
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
234 KB
Volume
436
Category
Article
ISSN
0024-3795

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Inequalities for Unitarily Invariant Nor
โœ Zhan, Xingzhi ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 220 KB
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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