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Maximality in sequences of function algebras

✍ Scribed by P.J. de Paepe


Book ID
108046922
Publisher
Elsevier Science
Year
1979
Weight
518 KB
Volume
82
Category
Article
ISSN
1385-7258

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Maximality in sequences of function alge
✍ P.J. de Paepe πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science βš– 409 KB

For a compact subset X of eN (N EN) with non-empty interior a sequence (B,,)~\_o of function algebras on X is constructed such that (i) C(X)=B o :) B 1 :) B z :) .. . (ii) for each n ;;;'O, B n +! is a maximal subslgebra of BΒ« (iii) ("\ Bn={f EC(X) : f is analytic on the interior of X}.