Se p 19 99 NON - REGULARITY FOR BANACH FUNCTION ALGEBRAS
نویسندگان
چکیده
Let A be a unital Banach function algebra with character space Φ A. For x ∈ Φ A , let M x and J x be the ideals of functions vanishing at x, and in a neighbourhood of x, respectively. It is shown that the hull of J x is connected, and that if x does not belong to the Shilov boundary of A then the set {y ∈ Φ A : M x ⊇ J y } has an infinite, connected subset. Various related results are given.
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