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Matrix Young inequalities for the Hilbert–Schmidt norm

✍ Scribed by Omar Hirzallah; Fuad Kittaneh

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 73 KB
Volume: 308
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(99)00270-0

No coin nor oath required. For personal study only.

✦ Synopsis

Let A, B, and X be n × n complex matrices such that A and B are positive semidefinite.

2 , where r = max(p, q) and • 2 is the Hilbert-Schmidt norm. Generalizations and applications of this inequality are also considered.

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