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Norm inequalities for cartesian decompositions

✍ Scribed by Xingzhi Zhan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
309 KB
Volume
286
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

On Parlett's matrix norm inequality for
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We show that a certain matrix norm ratio studied by Parlett has a supremum that is O(&) when the chosen norm is the Frobenius norm, while it is O(1og n) for the 2-norm. This ratio arises in Parlett's analysis of the Cholesky decomposition of an n by n matrix.

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✍ Jaesung Lee; Kyung Soo Rim πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 97 KB

We define pluriharmonic conjugate functions on the unit ball of n . Then we show that for a weight there exist weighted norm inequalities for pluriharmonic conjugate functions on L p if and only if the weight satisfies the A p -condition. As an application, we prove the equivalence of the weighted n

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✍ Omar Hirzallah; Fuad Kittaneh πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 71 KB

Two types of commutator inequalities for the Hilbert-Schmidt norm are established. The first type of these inequalities is related to a classical inequality of Clarkson, and the second type is related to the unitary approximation of positive and invertible operators.  2002 Elsevier Science (USA)