The corona theorem as an operator theorem
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- by C. F. Schubert PDF
- Proc. Amer. Math. Soc. 69 (1978), 73-76 Request permission
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.References
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- Ronald G. Douglas, Banach algebra techniques in operator theory, Pure and Applied Mathematics, Vol. 49, Academic Press, New York-London, 1972. MR 0361893
- R. G. Douglas, P. S. Muhly, and Carl Pearcy, Lifting commuting operators, Michigan Math. J. 15 (1968), 385–395. MR 236752
- Béla Sz.-Nagy and Ciprian Foiaş, Dilatation des commutants d’opérateurs, C. R. Acad. Sci. Paris Sér. A-B 266 (1968), A493–A495 (French). MR 236755
Additional Information
- © Copyright 1978 American Mathematical Society
- 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