Abstract
Let ð be a uniform algebra on a compact space X. Fix f 1,..., f k â ð and denote, as earlier, by
the smallest closed subalgebra of ð which contains the constants and f 1,..., f k. If [f 1,..., f k |X] = ð, we say the f j are a set of generators for ð. In earlier sections we obtained criteria for a set f 1, ..., f k to be a set of generators for the algebra C(X). Here we shall study the case when ð = A(D) the disk algebra, and more generally the case ð = A(B) where B is the closed ball in Cn
and A(B) consists of all functions continuous in B and analytic in BĖ.
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ÂĐ 1976 Springer Science+Business Media New York
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Wermer, J. (1976). Generators. In: Banach Algebras and Several Complex Variables. Graduate Texts in Mathematics, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3878-0_19
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DOI: https://doi.org/10.1007/978-1-4757-3878-0_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-3880-3
Online ISBN: 978-1-4757-3878-0
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