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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(online) ISSN 1061-0022(print)

 

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


Authors: A. Brudnyi and D. Kinzebulatov
Original publication: Algebra i Analiz, tom 19 (2007), nomer 4.
Journal: St. Petersburg Math. J. 19 (2008), 495-518
MSC (2000): Primary 30H05; Secondary 46J20
Published electronically: May 9, 2008
MathSciNet review: 2381931
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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.


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Additional Information

A. Brudnyi
Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
Email: albru@math.ucalgary.ca

D. Kinzebulatov
Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

DOI: http://dx.doi.org/10.1090/S1061-0022-08-01007-8
PII: S 1061-0022(08)01007-8
Keywords: Bounded holomorphic function, almost periodic function, uniform algebra, maximal ideal space, corona theorem
Received by editor(s): November 9, 2006
Published electronically: May 9, 2008
Additional Notes: Supported in part by NSERC
Article copyright: © Copyright 2008 American Mathematical Society