[PDF] Top 20 8. More operator inequalities for positive linear maps
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8. More operator inequalities for positive linear maps
... holds for every self adjoint operator A on H whose spectrum is contained in [m, M ]. As a special case of inequality (1.1), the authors in [8, Theorem 1.21] established the following generalization of ... See full document
9
Some generalizations of operator inequalities for positive linear maps
... C: More operator versions of the Schwarz ...an operator Kantorovich inequality for positive linear ...Some operator inequalities for positive linear ... See full document
6
Linear operator inequalities for stable weakly regular linear systems
... Over the past years, many papers have addressed these problems for nite-dimensionallinear systems; Willems [36], Clements and Glover [3], Willems, Kitapci and Silverman [14], Gohberg, Lancaster and Rod- man [13], Wimmer ... See full document
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Operator inequalities associated with relative operator entropies
... of operator mean, relative operator entropy and Tsallis relative operator entropy and present some new operator ...existing inequalities in [8], [14] and ...relative ... See full document
21
Minkowski’s inequality for the AB fractional integral operator
... many more. A generaliza- tion of classical inequalities by means of fractional-order integral operators is considered as an interesting subject ...Hadamard-type inequalities by using generalized ... See full document
12
Reverses of Young and Heinz inequalities for positive linear operators
... conjugate operator of A. An operator A ∈ B(H) is positive, and we write A ≥ , if (Ax, x) ≥ for every vector x ∈ ...a positive operator. The theory of operator means for ... See full document
9
Some Inequalities for Commutators of Bounded Linear Operators in Hilbert Spaces
... Remark 4 . It is well known that for a self-adjoint operator A and for a positive number a we have kAk ≤ a if and only if −a · I ≤ A ≤ a · I. This is also equivalent to the condition σ (A) ⊆ [−a, a] , where ... See full document
10
Weighted arithmetic–geometric operator mean inequalities
... bounded linear operators on a Hilbert space (H, ·, · ) and I be the identity ...the operator norm. A ≥ 0 (A > 0) implies that A is a positive (strictly positive) ...A linear map : ... See full document
6
Reverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
... the operator T : H → H is such that R (T) ⊥ R (T ∗ ) , kT k = 1 and kT − Ik ≤ 1, then the equality case holds in ...Theorem 8, λ = 1, r = 1, then we get in both sides of ... See full document
7
Hermite–Hadamard type inequalities for operator geometrically convex functions
... of operator geometri- cally convex functions for positive linear operators and prove some Hermite- Hadamard type inequalities for these ...trace inequalities for operators which give ... See full document
16
Certain integral inequalities involving tensor products, positive linear maps, and operator means
... integral inequalities involving tensor products of con- tinuous field of Hilbert space operators and positive linear ...Grüss inequalities. In particular, we obtain operator versions of ... See full document
13
Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces
... for positive linear maps of continuous synchronous (asynchronous) functions of selfadjoint linear operators in Hilbert spaces, under suitable as- sumptions for the involved ... See full document
15
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
... on operator Hermite-Hadamard type inequalities, see [1]-[2], [5]-[10] and ...bounded linear operators acting on ...all positive operators on H and by B ++ (H) the convex cone of all ... See full document
14
Some refinements of operator reverse AM GM mean inequalities
... bounded linear operators on a Hilbert space ...an operator in B(H), we identify a scalar with the identity operator I multiplied by this ...the operator A is positive. A is said to be ... See full document
7
On a Multiple Hilbert's Inequality with Parameters
... By introducing multiparameters and conjugate exponents and using Hadamard’s inequality and the way of real analysis, we estimate the weight coefficients and give a multiple more accurate Hilbert’s inequality, which ... See full document
12
Norm inequalities for composition of the Dirac and Green’s operators
... Remark (i) The Poincaré-type inequalities for the composition of the Dirac operator and Green’s operator presented in (.) and (.) can be extended into the global case. (ii) It should be noticed ... See full document
14
Large scale hydrological model river storage and discharge correction using a satellite altimetry based discharge product
... Abstract. Land surface models (LSMs) are widely used to study the continental part of the water cycle. However, even though their accuracy is increasing, inherent model uncer- tainties can not be avoided. In the ... See full document
28
Linear operators that preserve some test functions
... The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness one and the latter has its degree of exactness null, but, as a novelty, it reproduces the ... See full document
11
A New Subclass of Meromorphic Univalent Functions with Positive Coefficients Defined by Linear Operator
... Further the research work can be continued by using the differential operator for the class and study the partial sums and integral operators also.. REFERENCES.[r] ... See full document
8
Uniformly more powerful tests for hypotheses concerning linear inequalities and normal means
... Under certain conditions, the following test will be shown to be a size-ex test that is uniformly more powerful than the LRT for the testing problem described in (1.1).. DEFINITION 3.1= [r] ... See full document
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