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Proceedings of the American Mathematical Society

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

 

 

The corona theorem as an operator theorem


Author: C. F. Schubert
Journal: Proc. Amer. Math. Soc. 69 (1978), 73-76
MSC: Primary 47B37; Secondary 46J15
DOI: https://doi.org/10.1090/S0002-9939-1978-0482355-3
MathSciNet review: 0482355
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Abstract: We provide a short proof of a theorem of W. B. Arveson in operator theory. The conclusion of this theorem is the same as that of the Corona Theorem but the hypotheses are operator theoretic. Our proof yields an exact value for the constant involved. We also comment on this theorem as a new approximation problem.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0482355-3
Article copyright: © Copyright 1978 American Mathematical Society