[PDF] Top 20 Inequalities for the Norm and the Numerical Radius of Linear Operators in Hilbert Spaces
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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
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 ...operator norm are obtained. Particular cases of ... See full document
13
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
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] ... See full document
7
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
8
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
9
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
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
Some Inequalities for the Euclidean Operator Radius of Two Operators in Hilbert Spaces
... operator radius of two bounded linear operators in Hilbert spaces are ...the numerical radius of linear operators are also ... 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 triangle inequality ... See full document
10
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces
... new inequalities of the Kantorovich type are ...of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ... See full document
12
Inequalities for Some Functionals Associated with Bounded Linear Operators in Hilbert Spaces
... a Hilbert space over the real or complex number field K ( K = R , C ) ...bounded linear operators on a complex Hilbert space ...the numerical radius and the usual operator ... See full document
12
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 vector inequalities for two operators in Hilbert spaces with applications
... 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 are provided ... See full document
18
Generalizations of Buzano inequality for n-tuples of vectors in inner product spaces with applications
... product spaces are given. Applications for norm and numerical radius inequalities for n-tuples of bounded linear operators and for functions of normal operators ... See full document
14
Vector Inequalities for Powers of Some Operators in Hilbert Spaces
... Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self- commutators are given1. The numerical rang[r] ... See full document
12
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
Norm Inequalities for Sequences of Operators Related to the Schwarz Inequality
... Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given.. Applications for vector inequalities a[r] ... See full document
12
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