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- W2104031808 abstract "We prove that two domains of holomorphy U and V in separable Frechet spaces with the bounded approximation property are biholomorphically equivalent if and only if the topological algebras (H(U);?) and (H(V );?) are topologically isomor- phic for ? = ?0; ?!; ?-. We prove also that given two absolutely convex open subsets U and V of Tsirelson-like spaces, the algebras of holomorphic functions of bounded type Hb(U) and Hb(V ) are topologically isomorphic if and only if there is a biholo- morphic mapping of a special type between U and V. We obtain similar results for algebras of holomorphic germs H(K) and H(L), where K and L are two compact subsets of Tsirelson-like spaces." @default.
- W2104031808 created "2016-06-24" @default.
- W2104031808 creator A5029011170 @default.
- W2104031808 date "2006-01-01" @default.
- W2104031808 modified "2023-09-25" @default.
- W2104031808 title "Theorems of Banach-Stone Type for Algebras of Holomorphic Functions on Infinite Dimensional Spaces" @default.
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- W2104031808 doi "https://doi.org/10.3318/pria.2006.106.1.97" @default.
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