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Dive into the research topics where Fuad Kittaneh is active.

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Featured researches published by Fuad Kittaneh.


SIAM Journal on Matrix Analysis and Applications | 1990

On the singular values of a product of operators

Rajendra Bhatia; Fuad Kittaneh

For compact Hilbert space operators A and B, the singular values of


Linear Algebra and its Applications | 2000

Notes on matrix arithmetic-geometric mean inequalities

Rajendra Bhatia; Fuad Kittaneh

A^ * B


Linear & Multilinear Algebra | 2011

Reverse Young and Heinz inequalities for matrices

Fuad Kittaneh; Yousef Manasrah

are shown to be dominated by those of


Linear Algebra and its Applications | 2000

Matrix Young inequalities for the Hilbert–Schmidt norm

Omar Hirzallah; Fuad Kittaneh

\frac{1}{2}(AA^* + BB^* )


Letters in Mathematical Physics | 1993

Norm inequalities for fractional powers of positive operators

Fuad Kittaneh

.


Linear Algebra and its Applications | 1992

A note on the arithmetic-geometric-mean inequality for matrices

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

Norm Inequalities for Positive Operators

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

Singular Values of Companion Matrices and Bounds on Zeros of Polynomials

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

Clarkson Inequalities with Several Operators

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

On Lipschitz functions of normal operators

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 ∗ .

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Rajendra Bhatia

Indian Statistical Institute

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Saja Hayajneh

Irbid National University

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Mohammad Sababheh

Princess Sumaya University for Technology

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