A. Brudnyi, D. Kinzebulatov, “Uniform subalgebras of <nobr>$L^\infty$</nobr> on the unit circle generated by almost periodic functions”, Algebra i Analiz, 2007, Volume 19, Issue 4,Pages <nobr>1

This article is cited in 4 papers

Research Papers

Uniform subalgebras of $L^\infty$ on the unit circle generated by almost periodic functions

A. Brudnyi, D. Kinzebulatov

Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

Abstract: Analogs of almost periodic functions for the unit circle are introduced. Certain uniform algebras generated by such functions are studied, the corona theorems for them are proved, and their maximal ideal spaces are described.

Keywords: Bounded holomorphic function, almost periodic function, uniform algebra, maximal ideal space, corona theorem.

MSC: Primary 30H05; Secondary 46J20

Received: 09.11.2006

Language: English