Results 11 to 20 of about 2,288,250 (268)
On the Numerical Range and Numerical Radius of the Volterra Operator
Известия Иркутского государственного университета: Серия "Математика", 2018 In this paper, we investigated the numerical range and the numerical radius of the classical Volterra operator on the complex space $L^2[0,1]$. In particular, we determined the numerical range, the numerical radius of real and imaginary part of the ...
L. Khadkhuu, D. Tsedenbayar
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Numerical Radius and Operator Norm Inequalities
Journal of Inequalities and Applications, 2009 A general inequality involving powers of the numerical radius for sums and products of Hilbert space operators is given. This inequality generalizes several recent inequalities for the numerical radius, and includes that if and are operators on a ...
Albadawi Hussien, Shebrawi Khalid
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Norm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces [PDF]
, 2006 The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα ,β (T) := (T∗ −α I)(β I−T) , where α ,β ∈ C and T ∈ B(H), of the operators ...
S. S. Dragomir +2 more
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Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities for the norm and numerical radius of two bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
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Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces [PDF]
, 2008 Some inequalities of the Grüss Type type for the numerical radius of bounded linear operators in Hilbert spaces are ...
Dragomir, Sever S
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Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces [PDF]
, 2005 Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are ...
Dragomir, Sever S
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Weighted Inequalities For The Numerical Radius [PDF]
Vietnam Journal of Mathematics, 2021 In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance of the obtained results is the way they generalize many existing results in the literature; where certain values of the weights imply some known results, or refinements of these results.
Shiva Sheybani +2 more
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AIMS Mathematics, 2022 Abstract We give several sharp inequalities involving powers of the numerical radii and the usual operator norms of Hilbert space operators. These inequalities , which are based on some classical convexity inequalities for nonneg-ative real numbers and some operator inequalities, generalize earlier numerical radius inequalities.
M. H. M. Rashid, Feras Bani-Ahmad
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Upper Bounds for the Euclidean Operator Radius and Applications [PDF]
, 2006 The main aim of the present paper is to establish various sharp upper bounds for the Euclidean operator radius of an n−tuple of bounded linear operators on a Hilbert space.
Dragomir, Sever S
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Further results on A-numerical radius inequalities [PDF]
Annals of Functional Analysis, 2021 Let A be a bounded linear positive operator on a complex Hilbert space [Formula: see text] Furthermore, let [Formula: see text] denote the set of all bounded linear operators on [Formula: see text] whose A-adjoint exists, and [Formula: see text] signify a diagonal operator matrix with diagonal entries are A.
Rout N, Mishra D.
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