Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A simple constructive proof of an analogue of the corona theorem


Author: Michael von Renteln
Journal: Proc. Amer. Math. Soc. 83 (1981), 299-303
MSC: Primary 46J15; Secondary 30H05
DOI: https://doi.org/10.1090/S0002-9939-1981-0624918-8
MathSciNet review: 624918
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We present a simple and constructive proof (i.e. a proof without using Gelfand theory) of an analogue of the Corona theorem for the Wiener algebras $ W$ and $ {W^ + }$ of absolutely convergent Fourier and Taylor series respectively, also the disc algebra $ A(\overline D )$ and the subalgebras $ {A^n}(\overline D )$ of functions whose $ n$th derivatives extend continuously to $ \overline D = \{ z:\left\vert z \right\vert \leqslant 1\} $.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46J15, 30H05

Retrieve articles in all journals with MSC: 46J15, 30H05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0624918-8
Article copyright: © Copyright 1981 American Mathematical Society