[PDF] Top 20 Antieigenvalue inequalities in operator theory
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Antieigenvalue inequalities in operator theory
... mM/(m+ M) , where m and M are the smallest and largest eigenvalues of P , respectively. This was first proved by Gustafson in [2] and later inde- pendently by Krein. On the other hand, for a unitary operator U , ... See full document
7
Order generalised gradient and operator inequalities
... Convex functions play a crucial role in many fields of mathematics, most prominently in optimisation theory. There are two main important inequalities which characterise convex functions, namely Jensen’s and ... See full document
23
Approximations of Antieigenvalue and Antieigenvalue Type Quantities
... “an antieigenvalue-type quantity” throughout this paper, we mean a real number obtained by computing the inf in expressions similar to those given ...known operator inequalities for positive ... See full document
16
Inequalities for the composition of Green’s operator and the potential operator
... some inequalities for the composition of Green’s op- erator G and the potential operator P applied to differential ...physics, theory of elasticity, quasiconformal analysis, ...Green’s operator ... See full document
13
Boundedness and compactness of a class of Hardy type operators
... We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these ... See full document
18
Global Poincaré inequalities for the composition of the sharp maximal operator and Green’s operator with Orlicz norms
... and inequalities, including the Poincaré inequalities, for solution of the homoge- neous A-harmonic equation have been established; see [, ...Poincaré inequalities for differential forms is an ... See full document
9
Bounds for total antieigenvalue of a normal operator
... an operator T was introduced by Gustafson [4, 5, 6] while studying perturbation theory of semi- group ...call operator trigonometry, whose theory and applications are still ...an ... See full document
8
Numerical Radius and Operator Norm Inequalities
... usual operator norm and the numerical radius norm are ...The inequalities in ...nilpotant operator A with A n 0, Haagerup and Harpe 1 show that wA ≤ A cosπ/n ...the theory of the numerical ... See full document
11
Orlicz norm inequalities for the composite operator and applications
... potential theory, non- linear elasticity theory, and so forth; see [1-7] for ...tor theory of differential forms just began in these several years and hence attracts the attention of many ...norm ... See full document
12
Norm inequalities for composition of the Dirac and Green’s operators
... Dirac operator D and Green’s operator G are widely studied and used in mathematics and ...quantum theory compatible with special relativity, Dirac operators have been playing an important role in ... See full document
14
Computation of antieigenvalues
... pure operator theory as well as numerical analysis (see [3, 4, ...first antieigenvalue of normal accretive operators in terms of eigenvalues of these ...first antieigenvalue for certain ... See full document
A New General Integral Operator Defined by Al Oboudi Differential Operator
... Bulut, “Some properties for an integral operator defined by Al-Oboudi differential operator,” Journal of Inequalities in Pure and Applied Mathematics, vol.[r] ... See full document
13
Singular integrals of the compositions of Laplace Beltrami and Green's operators
... where A : M × ∧ l (ℝ n ) ® ∧ l (ℝ n ) and B : M × ∧ l (ℝ n ) ® ∧ l-1 (ℝ n ) satisfy the conditions: | A(x, ξ ) | ≤ a |ξ | p − 1 , A(x, ξ ) · ξ ≥ |ξ | p , | B(x, ξ ) | ≤ b |ξ | p − 1 (1:2) for almost every x Î M and all ξ ... See full document
12
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 ...for operator norm are ...an operator are also ... See full document
13
Operator P class functions
... Proof Let < A ≤ B. Fix ε > . We put C = B – A + ε. Let θ > . It follows from lim t→∞ f (t) = that there exists M > such that f (t) ≤ θ for all t ≥ M. We may assume that the spectrum of the strictly ... See full document
8
On an operator preserving inequalities between polynomials
... RASSIAS, Topics in Polynomials: Extremal Properties, Inequalities, Zeros, World scientific Publishing Co., Singapore, (1994).. [8] G.[r] ... See full document
15
Some sharp inequalities for multilinear integral operators
... Abstract In this paper, some sharp inequalities for certain multilinear operators related to the Littlewood-Paley operator and the Marcinkiewicz operator are obtained.. As an application[r] ... See full document
14
Operator valued Extensions of Matrix norm Inequalities
... Both [9] and [10] actually present further inequalities for other norms, the “trace class” or “Schatten ideal” norms. We will not embark on this topic here, except to mention that their results (or most of them) ... See full document
7
Weighted arithmetic–geometric operator mean inequalities
... Let B(H) be the C ∗ -algebra of all bounded linear operators on a Hilbert space (H, ·, · ) and I be the identity operator. · is the operator norm. A ≥ 0 (A > 0) implies that A is a positive (strictly ... See full document
6
Inequalities for the fractional convolution operator on differential forms
... Weighted inequalities for fractional integral operators with kernel satisfying Hörmander type ...Weighted inequalities for generalized fractional ... See full document
13
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