We analyze reflection positive representations in terms of Hankel operators. This is motivated by the fact that operators are described their Carleson measures, whereas compatibility condition between and Hilbert spaces quite intricate. leads us to concept a representation triples (G,S,τ), where G group, τ an involutive automorphism S⊆G subsemigroup with τ(S)=S−1. For (Z,N,−idZ), corresponding ...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

in this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.

We use the spectra of Dirac type operators on the sphere S to produce sharp L inequalities on the sphere. These operators include the Dirac operator on S, the conformal Laplacian and Paenitz operator. We use the Cayley transform, or stereographic projection, to obtain similar inequalities for powers of the Dirac operator and their inverses in R.

The operators on Lp = Lp[0, 1], 1 ≤ p < ∞, which are not commutators are those of the form λI + S where λ , 0 and S belongs to the largest ideal in L(Lp). The proof involves new structural results for operators on Lp which are of independent interest.

The talk summarises a calculation of the two-point functions for ∆S = 1 current-current and QCD-penguin operators, as well as for the ∆S = 2 operator, at the next-to-leading order. The size of the gluonic corrections to current-current operators is large, providing a qualitative understanding of the observed enhancement in ∆I = 1/2 transitions. In the ∆S = 2 sector the QCD corrections are quite...

In this paper we study surface operators in N = 4 supersymmetric Yang-Mills theory. We compute surface operator observables, such as the expectation value of surface operators, the correlation function of surface operators with local operators, and the correlation function of surface operators with Wilson and ’t Hooft loops. The calculations are performed using three different realizations of s...

This paper contains a variety of new integral inequalities for (s,m)-convex functions using Caputo fractional derivatives and Caputo–Fabrizio operators. Various generalizations Hermite–Hadamard-type containing operators are derived those whose (s,m)-convex. Inequalities involving the digamma function special means deduced as applications.

A basic sequence in a Banach space is called wide-(s) if it is bounded and dominates the summing basis. (Wide-(s) sequences were originally introduced by I. Singer, who termed them P ∗-sequences.) These sequences and their quantified versions, termed λ-wide-(s) sequences, are used to characterize various classes of operators between Banach spaces, such as the weakly compact, Tauberian, and supe...