Fuad Kittaneh
University of Jordan
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Publication
Featured researches published by Fuad Kittaneh.
SIAM Journal on Matrix Analysis and Applications | 1990
Rajendra Bhatia; Fuad Kittaneh
For compact Hilbert space operators A and B, the singular values of
Linear Algebra and its Applications | 2000
Rajendra Bhatia; Fuad Kittaneh
A^ * B
Linear & Multilinear Algebra | 2011
Fuad Kittaneh; Yousef Manasrah
are shown to be dominated by those of
Linear Algebra and its Applications | 2000
Omar Hirzallah; Fuad Kittaneh
\frac{1}{2}(AA^* + BB^* )
Letters in Mathematical Physics | 1993
Fuad Kittaneh
.
Linear Algebra and its Applications | 1992
Fuad Kittaneh
Abstract For positive semi-definite n×n matrices, the inequality 4|||AB|||⩽|||(A+B) 2 ||| isshown to hold for every unitarily invariant norm. The connection of this with some other matrix arithmetic–geometric mean inequalities and trace inequalities is discussed.
Letters in Mathematical Physics | 1998
Rajendra Bhatia; Fuad Kittaneh
We give reverses of the classical Young inequality for positive real numbers and we use these to establish reverse Young and Heinz inequalities for matrices.
SIAM Journal on Matrix Analysis and Applications | 1995
Fuad Kittaneh
Abstract Let A,B, and X be n×n complex matrices such that A and B are positive semidefinite. If p,q>1 with 1 p + 1 q =1 , it is shown that ∥ 1 p A p X+ 1 q XB q ∥ 2 2 ⩾ 1 r 2 A p X−XB q 2 2 + AXB 2 2 , where r=max(p,q) and · 2 is the Hilbert–Schmidt norm. Generalizations and applications of this inequality are also considered.
Bulletin of The London Mathematical Society | 2004
Rajendra Bhatia; Fuad Kittaneh
It is shown that ifA, B andX are operators on a Hilbert space such thatA andB are positive andX belongs to a norm ideal associated with some unitarily invariant norm |‖·|‖, then for 0 ≤r ≤ 1 we have |‖ArXBr|‖ ≤ |‖X|‖1-r|‖AXB|‖r. This is an extension of the classical Heinz-Kato inequality which was originally proved for the usual operator norm. Other related inequalities are also discussed.
Proceedings of the American Mathematical Society | 1985
Fuad Kittaneh
Abstract We give a simple proof of the inequality ⦀ AA ∗ X + XBB ∗ ⦀ ⩾ 2 ⦀ A ∗ AB ⦀, where A , B , and X are arbitrary n × n matrices and ⦀ · ⦀ is any unitarily invariant norm. For the Schatten p -norms ‖ · ‖ p with 1 p AA ∗ X + XBB ∗ ‖ p = 2‖ A ∗ XB ‖ p if and only if AA ∗ X = XBB ∗ .