[PDF] Top 20 Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces
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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] ... See full document
10
Norm and Numerical Radius Inequalities for Sums of Bounded Linear Operators in Hilbert Spaces
... new inequalities for the operator norm and numerical radius of sums of bounded linear operators in Hilbert ...particular, two refinements of the generalised ... See full document
13
Norm and numerical radius inequalities for sums of operators in Hilbert spaces
... on numerical radius inequalities see [1], [3]-[7], [9]-[12], [14] and ...a linear space over the real or complex number field K and let us denote by H (X) the class of all positive ... See full document
24
Some vector inequalities for two operators in Hilbert spaces with applications
... for two operators A, B for which the operator Re (B ∗ A) is nonnega- tive in the operator order that are related to the inequality ...for norm and numerical radius inequalities ... See full document
18
Further Inequalities for Sequences and Power Series of Operators in Hilbert Spaces Via Hermitian Forms
... w (T ) = sup {|λ| , λ ∈ W (T )} = sup {|hT x, xi| , kxk = 1} . (46) It is well known that w (·) is a norm on the Banach algebra B (H) of all bounded linear operators T : H → H. This norm is ... See full document
18
Some inequalities of Furuta's type for functions of operators defined by power series
... Furuta inequalities for power series of bounded linear operators in Hilbert spaces are ...normal operators and some functions of interest such as the exponential, hyperbolic and ... See full document
16
Some Inequalities for the Euclidean Operator Radius of Two Operators in Hilbert Spaces
... Remark 1. The inequality (2.4) is better than the first inequality in (1.5) which follows from Popescu’s first inequality in (1.4). It also provides, for the case that B, C are the self-adjoint operators in the ... See full document
9
Semi-Inner Products and the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... the numerical radius w (A) , operator norm kAk and the semi- inner products hA, Ii p,n and hA, Ii p,w with p ∈ {i, s} that can be naturally defined on the Banach algebra B (H ) of all bounded ... See full document
16
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces
... complex Hilbert space. The commutator of two bounded linear operators A and B is the operator AB ...operator norm k·k and for any two operators A and B, by using the ... See full document
10
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] ... See full document
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Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces
... selfadjoint linear operator on a complex Hilbert space (H; h :; : i ) : The Gelfand map establishes a -isometrically isomorphism between the set C (Sp (A)) of all continuous functions de…ned on the spectrum ... See full document
14
Numerical Radius and Operator Norm Inequalities
... general norm inequality for Hilbert space operators, from which new inequalities for operators and generalizations of earlier results can be ... See full document
11
Some Inequalities for the Čebyšev Functional of Two Functions of Selfadjoint Operators in Hilbert Spaces
... selfadjoint linear operator on a complex Hilbert space (H; h :; : i ) : The Gelfand map establishes a -isometrically isomorphism between the set C (Sp (A)) of all continuous functions de…ned on the spectrum ... See full document
10
New Reverse Inequalities for Normal Operators in Hilbert Spaces
... Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the author1. Numerical radius, Bounded linear operators, Normal opera[r] ... See full document
9
A Functional Associated with Two Bounded Linear Operators in Hilbert Spaces and Related Inequalities
... several inequalities for the functional µ (·, ·) under various assumptions for the operators involved, includ- ing operators satisfying the uniform (α, β) −property and operators for which the ... See full document
13
New norm equalities and inequalities for operator matrices
... all linear bounded operators on a complex separable Hilbert space H with inner product ·, ...the numerical radius and the usual operator norm of M, ...a norm on LB(H), ... See full document
9
Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces
... other inequalities between the operator norm and its numerical ...product spaces due to Goldstein-Ryff- Clarke [9], Dragomir-S´ andor [7] and Dragomir ... See full document
7
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] ... See full document
9
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] ... See full document
11
Some Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
... the norm or 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 ... See full document
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