Wiener weighted algebra of functions of infinitely many variables
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 1
Abstract
In this article we consider a weighted Wiener type Banach algebra of infinitely many variables. The main result is a description of the spectrum of this algebra.
Authors and Affiliations
L. Atamanyuk
Keywords
Related Articles
- EP ID EP538430
- DOI 10.15330/cmp.7.1.3-5
- Views 50
- Downloads 0
Superextensions of three-element semigroups
A family $\mathcal{A}$ of non-empty subsets of a set $X$ is called an {\em upfamily} if for each set $A\in\mathcal{A}$ any set $B\supset A$ belongs to $\mathcal{A}$. An upfamily $\mathcal L$ of subsets of $X$ is said to...
Convergence criterion for branched continued fractions of the special form with positive elements
In this paper the problem of convergence of the important type of a multidimensional generalization of continued fractions, the branched continued fractions with independent variables, is considered. This fractions are a...
A study on integer additive set-valuations of signed graphs
Let N0 denote the set of all non-negative integers and P(N0) be its power set. An integer additive set-labeling (IASL) of a graph G is an injective set-valued function f:V(G)→P(N0)∖{∅} such that the induced function f+:E...
The structure of solutions of the matrix linear unilateral polynomial equation with two variables
We investigate the structure of solutions of the matrix linear polynomial equation $A(\lambda)X(\lambda)+B(\lambda)Y(\lambda)=C(\lambda),$\ in particular, possible degrees of the solutions. The solving of this equation...
Boundary problem for the singular heat equation
The scheme for solving of a mixed problem with general boundary conditions is proposed for a heat equation $$ a(x)\frac{\partial T}{\partial \tau}= \frac{\partial}{\partial x} \left(\lambda(x)\frac{\partial T}{\partial x...