Abstract Let u be an analytic function in the unit disk $\mathbb{D}$ D and φ self-map of . We give characterizations symbols for which multiplication operator $M_{u}$ M u weighted composition $M_{u,\varphi }$ , φ</mml...

Recently it has been shown that sum and product are not the only operations that can be used in order to define concrete approximation operators. So, in Image Processing the sum and multiplication are not the only operations that can be used, but also, several other operations provided by fuzzy logic. In this sense, in the present paper, we will investigate how a pair consisting of a uninorm an...

The vertex operators Hm act on the Hall-Littlewood polynomials HX; t] with the property that HmHX; t] = H (m;;) X; t]. We present a combinatorial rule for computing the action of Hm on the schur function basis which interpolates the Pieri formula for multiplication by hmX] and the schur function vertex operator. This rule suggests the existence of an operator on column strict tableaux of conten...

Let 0 < p ≤ q ≤ +∞. Let T be a bounded sublinear operator from a Banach space X into an Lp(Ω,μ) and let ∇T be the set of all linear operators ≤ T . In the present paper, we will show the following. Let C be a positive constant. For all u in ∇T , Cpq(u) ≤ C (i.e., u admits a factorization of the form X ũ → Lq(Ω,μ) Mgu → Lp(Ω,μ), where ũ is a bounded linear operator with ‖ũ‖ ≤ C , Mgu is the bo...

This paper represents a revised version of the lectures, delivered by author at KROMSH-2019. These lectures are devoted to describing few different ways constructing model representation for self-adjoint and unitary operators acting in Pontryagin spaces, comparison between them. Two these models based on regularized integral Krein-Langer numerical sequence generated powers (in sense spaces) ope...

The objective of this study was to develop a new optimal parallel algorithm for matrix multiplication which could run on a Fibonacci Hypercube structure. Most of the popular algorithms for parallel matrix multiplication can not run on Fibonacci Hypercube structure, therefore giving a method that can be run on all structures especially Fibonacci Hypercube structure is necessary for parallel matr...

We present a new approach for expressing and solving boundary problems for linear ordinary differential equations in the language of differential algebras. Starting from an algebra with a derivation and integration operator, we construct a ring of linear integro-differential operators that is expressive enough for specifying regular boundary problems with arbitrary Stieltjes boundary conditions...

We give a solution, via operator spaces, of an old problem in the Morita equivalence of C*-algebras. Namely, we show that C*-algebras are strongly Morita equivalent in the sense of Rieffel if and only if their categories of left operator modules are isomorphic via completely contractive functors. Moreover, any such functor is completely isometrically isomorphic to the Haagerup tensor product (=...

Let M be a compact Riemannian manifold endowed with an isometric action of a compact Lie group. The method of the Witten deformation is used to compute the virtual representation-valued equivariant index of a transversally elliptic, first order differential operator on M. The multiplicities of irreducible representations in the index are expressed in terms of local quantities associated to the ...

New position uncertainty (delocalization) measures for a particle on the circle are proposed and illustrated on several examples, where the previous measures (based on 2π-periodic position operators) appear to be unsatisfactory. The new measures are suitably constructed using the standard multiplication angle operator variances. They are shown to depend solely on the state of the particle and t...