Titlebook: Banach Algebras and Several Complex Variables; John Wermer Textbook 19762nd edition Springer Science+Business Media New York 1976 Banach.B

只看該作者 · 發(fā)表于 2025-3-27 00:09:49

The Equation ,u = ,,As before, fix an open set Ω ? C.. Given . ∈ ∧.(Ω), we seek . ∈ ∧. such that ..

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,The Oka—Weil Theorem,Let . be a compact set in the .-plane and denote by .(.) the uniform closure on . of the polynomials in ..

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Operational Calculus in Several Variables,We wish to extend the operational calculus established in Section 3 to functions of several variables. Let ? be a Banach algebra and x.,., x. ∈ ?. If . is a polynomial in . variables . it is natural to define

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只看該作者 · 發(fā)表于 2025-3-27 16:05:15

,Maximality and Radó’s Theorem,Let . be a compact space and ? a uniform algebra on .. Denote by || || the uniform norm on .(.). Note that if x, y ∈ ?, then x +? ∈.(.), so that ||x + ?|| is defined.

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Algebras of Analytic Functions,Let . be a domain in . and let .. be an algebra of analytic functions on .. Assume that .. separates points on . and contains the constants.

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