Composition operators Cφ induced by a selfmap φ of some set S are operators acting on a space consisting of functions on S by composition to the right with φ, that is Cφf = f ◦ φ. In this paper, we consider the Hilbert Hardy spaceH2 on the open unit disk and find exact formulas for distances ‖Cφ−Cψ‖ between composition operators. The selfmaps φ and ψ involved in those formulas are constant, inn...

We consider variants of Metric Temporal Logic (MTL) with the past operators S and SI . We show that these operators can be “eliminated” in the sense that for any formula in these logics containing the S and SI modalities, we can give a formula over an extended set of propositions which does not contain these past operators, and which is equivalent to the original formula modulo a projection ont...

We use QCD sum rules to compute matrix elements of the ∆B = 2 operators appearing in the heavy-quark expansion of the width difference of the B s mass eigenstates. Our analysis includes the leading-order operators Q and Q S , as well as the subleading operators R 2 and R 3 , which appear at next-to-leading order in the 1/m b expansion. We conclude that the violation of the factorization approxi...

s at ICCAM 2012 Approximation by Chlodowsky type Jakimovski-Leviatan operators Ibrahim BÜYÜKYAZICI Ankara University Tandogan, Ankara Turkey [email protected] Joint work with: H. TANBERKAN, Ç.ATAKUT, S. KIRCI SERENBAY We introduce a generalization of the Jakimovski-Leviatan operators constructed by A.Jakimovski and D. Leviatan and the theorems on convergence and the degree of convergence a...

Theoretical predictions of several measurable quantities, which are relevant in K-, Dand Bmeson phenomenology, depend on the matrix elements of some ∆F = 2 four-fermion operators. Examples are given by FCNC effects in SUSY extensions of the Standard Model [1]-[2], by the B s– B̄ s width difference [3] and by the O(1/m 3 b) corrections in inclusive b-hadron decay rates (which actually depend on t...

We consider Toeplitz operators on Bergman spaces over the bounded symmetric domain SU(n, n)/S(U(n)×U(n)). As a special case of a previous result, it was shown that Toeplitz operators with radial symbols (that is, symbols that are invariant under the action of S(U(n)×U(n))) generate a commutative C∗-algebra. As a consequence, it is possible to simultaneously diagonalize all Toeplitz operators wi...

This paper reviews the theory of partial *-algebras of closable operators in Hilbert space (partial O*-algebras), with some emphasis on partial GW*-algebras. First we discuss the general properties and the various types of partial *-algebras and partial O*-algebras. Then we summarize the representation theory of partial *-algebras, including a generalized Gel'fand-Naimark-Segal construction; th...

We define the equivariant family index of a family of elliptic operators invariant with respect to the free action of a bundle G of Lie groups. In this paper we concentrate on the issues specific to the case when G is trivial, so the action reduces to the action of a Lie group G. For G simply-connected solvable, we then compute the Chern character of the (equivariant family) index, the result b...

Parseval's formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces S(ℝn) and S'(ℝn).

We obtain weighted mixed inequalities for operators associated to a critical radius function. consider Schrödinger Calderón-Zygmund of (s,δ) type, $1<s\leq \infty $ and 0 < δ ≤ 1. also give estimates the same type maximal operators. As an application, we wide variety singular integrals. far as know, these results are first approach in setting.