numerical radius
Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces
... Dragomir, Some inequalities of the Gr¨ uss type for the numerical radius of bounded linear operators in Hilbert spaces, Preprint, RGMIA Res.. Gustafson and D.K.M.[r] ...
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Denseness of Numerical Radius Attaining Holomorphic Functions
... Proof. We may assume that Γ {x α , x ∗ α } α and ϕ α x α 1 for each α, where each ϕ α is a strong peak function in AB X . Notice that if f ∈ AB X : X and vf 0, then vf 0 |x ∗ fx| for any x, x ∗ ∈ ΠX and f attains its ...
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Power Inequalities for the Numerical Radius of a Product of Two Operators in Hilbert Spaces
... Dragomir, Inequalities for the numerical radius, the norm and the maximum of the real part of bounded linear operators in Hilbert spaces.. Linear Algebra Appl.[r] ...
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Sesquilinear version of numerical range and numerical radius
... The motivation of this paper is to introduce the notions of numerical range and numerical radius without the inner product structure. In fact, the result extends immediately to the case where the ...
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Norm and numerical radius inequalities for sums of operators in Hilbert spaces
... For other results on numerical radius inequalities see [1], [3]-[7], [9]-[12], [14] and [18]-[23]. Let X be a linear space over the real or complex number field K and let us denote by H (X) the class of all ...
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Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
... Some elementary inequalities providing upper bounds for the dif- ference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions [r] ...
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Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces
... The main aim of this paper is to establish other inequalities between the operator norm and its numerical radius. We employ, amongst others, the Buzano inequality as well as some results for vectors in ...
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Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces
... DRAGOMIR, Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, RGMIA Res.. S ´ ANDOR, Some inequalities in prehilbertian spaces, Studia Univ.[r] ...
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Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces
... For a bounded linear operator A, let w(A) denotes is numerical radius [3], [4]. We recall the following results concerning the numerical radius of a product of two operators [3, pp. 37-40] ...
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Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... the numerical radius of the involved operators A and B (or certain expressions constructed with these operators), we establish in this paper some natural inequalities of the ...
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Semi-Inner Products and the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... the numerical radius w (A) and the operator norm kAk outlined above, the aim of this paper is to establish deeper relationships between these ...merical radius w (A) is bounded below by the maximum ...
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On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial
... Research Article On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial Kallol Paul and Santanu Bag Department of Mathematics, Jadavpur University, Kolkata 70[r] ...
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On The Dragomir Extension of Furuta’s Inequality and Numerical Radius Inequalities
... In this work, some numerical radius inequalities based on the recent Dragomir extension of Furuta’s inequality are obtained.. Some particular cases are also provided2[r] ...
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Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... the numerical radius of the involved operators A and B or certain expressions constructed with these operators, we establish in this paper some natural inequalities of the ...
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Numerical Radius Inequalities for Sums and Products of Operators
... 2011 Numerical Radius Inequalities for Commutators of Hilbert Space Operators.. Numerical Functional Analysis and Optimization, 32, 739-749.[r] ...
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Some numerical radius inequalities for power series of operators in Hilbert spaces
... 6. Davidson, KR, Holbrook, JAR: Numerical radii of zero-one matrices. Mich. Math. J. 35, 261-267 (1988) 7. Müller, V: The numerical radius of a commuting product. Mich. Math. J. 39, 255-260 (1988) 8. ...
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Numerical Radius and Operator Norm Inequalities
... general numerical radius inequality for Hilbert space operators which yields well known and new numerical radius inequalities as special ...
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A Note on Numerical Radius Operator Spaces
... various numerical radius operator ...a numerical radius operator space and show that it has a dual ...special numerical radius operator spaces MinE and ...
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Inequalities for the numerical radius in unital normed algebras
... as a lower bound for the numerical radius v(a). Therefore, it is a natural question to ask how far these quantities are from each other under vari- ous assumptions for the element a in the unital normed ...
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Some generalization of power inequalities for the numerical radius of sum of products of two operators in a Hilbert space
... In this paper, we generalize some power inequalities numerical radius for the finite number sum of product of two operators in a Hilbert space.. Also we generalized some inequalities for[r] ...
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