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

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Wirtschaft als funktionales TeilsystemAs the two-dimensional analogue of an are in .., we take a disk in .. defined as follows. Let . be the closed unit disk in the ζ-plane and let ..,…, .. be continuous functions defined on .. Assume that the map ζ → (..(ζ),…, ..(ζ)) is one to one on .. The image . of . under this map we call a . in ...

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https://doi.org/10.1007/978-3-531-90905-9Given Banach algebras ?. and ?. with maximal ideal spaces .. and .., if ?. and ?. are isomorphic as algebras, then .. and .. are homeomorphic. It is thus to be expected that the topology of . (?) is reflected in the algebraic structure of ?, for an arbitrary Banach algebra ?.

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https://doi.org/10.1007/978-3-642-90965-8Let . be a compact set in .. which lies on a smooth .-dimensional (real) submanifold ∑ of ... Assume that . is polynomially convex. Under what conditions on ∑ can we conclude that .?

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https://doi.org/10.1007/978-3-662-32915-3In Sections 13, 14 and 17 we have studied polynomial approximation on certain kinds of .-dimensional manifolds in C.. In this Section we consider the case . Let ∑ be a .-dimensional submanifold of an open set in C. with .. Let . be a compact set which lies on ∑ and contains a relatively open subset of ∑.

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Preliminaries and Notations,Let . be a compact Hausdorff space.

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Operational Calculus in One Variable,Let ℱ denote the algebra of all function . on –π≤θ≤π, with

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