A. V. Zagorodnjuk, M. A. Mitrofanov, “An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces”, Mat. Zametki, 2015, Volume 97, Issue 2,Pages <nobr>191

This article is cited in 1 paper

An Analog of Wiener's Theorem for Infinite-Dimensional Banach Spaces

A. V. Zagorodnjuk^a, M. A. Mitrofanov^b

^a Vasyl Stefanyk Precarpathian National University
^b Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine

Abstract: In this paper, we study various generalizations of the classical Wiener algebra on a Banach space and prove analogs of Wiener's theorem on the invertibility of elements of such algebras.

Keywords: Wiener algebra, Banach space, Wiener's theorem, Fourier series, convolution algebra, maximal ideal, Banach algebra, Aron–Berner extension.

UDC: 517

Received: 13.03.2012
Revised: 12.08.2014

DOI: 10.4213/mzm9371