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Unitarily invariant norms related to the numerical radius

โœ Scribed by T. Ando


Book ID
104036291
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
82 KB
Volume
417
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


We determine the maximum in the class of unitarily invariant norms โ€ข such that w(A) A for all n-square matrices A. Here w(A) denotes the numerical radius of A.


๐Ÿ“œ SIMILAR VOLUMES


On weakly unitarily invariant norm and t
โœ K. Okubo ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 85 KB

In this paper we show that where T โˆˆ B(H), ||| โ€ข ||| is a semi-norm on B(H) which satisfies some conditions, T = UP (polar decomposition), 0 ฮป 1 and f is a polynomial. As a consequence of this fact, we will show that some semi-norms ||| โ€ข ||| including the ฯ-radii (0 < ฯ 2) satisfy the inequality |