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Some inequalities involving the euclidean condition of a matrix

✍ Scribed by F. L. Bauer; A. S. Householder


Publisher
Springer-Verlag
Year
1960
Tongue
English
Weight
147 KB
Volume
2
Category
Article
ISSN
0029-599X

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πŸ“œ SIMILAR VOLUMES


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✍ Yik-Hoi Au-Yeung πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 125 KB

In this note the author gives a simple proof of the following fact: Let r and s be two positive rational numbers such that r ~ s and let A and B be two n Γ— n nonnegative definite Hermitian matrices such that Ar~ B r. Then AS~ B s.

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✍ Sever S. Dragomir πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 133 KB

Some sharp bounds for the Euclidean operator radius of two bounded linear operators in Hilbert spaces are given. Their connection with Kittaneh's recent results which provide sharp upper and lower bounds for the numerical radius of linear operators are also established.