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Commutator inequalities for Hilbert space operators

✍ Scribed by Omar Hirzallah

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
141 KB
Volume
431
Category
Article
ISSN
0024-3795

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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)

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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.