The corona theorem as an operator theorem
Tóm tắt
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.
Từ khóa
Tài liệu tham khảo
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Carleson, Lennart, 1962, Interpolations by bounded analytic functions and the corona problem, Ann. of Math. (2), 76, 547, 10.2307/1970375
Douglas, Ronald G., 1972, Banach algebra techniques in operator theory
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