منابع مشابه
Uniform Approximation and Maximal Ideal Spaces
Let X be a compact set in the z-plane. We are interested in two function spaces associated with X: C(X) — space of all continuous complex-valued functions on X. P(X) =space of all uniform limits of polynomials on X. Thus a function ƒ on X lies in P{X) if there exists a sequence {Pn} of polynomials converging to ƒ uniformly on X. Clearly P(X) is part of C(X). QUESTION I. When is P(X) = C(X)t i.e...
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We study an interesting class of Banach function algebras of innitely dierentiable functions onperfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, calledLipschitz algebras of innitely dierentiable functions and denoted by Lip(X;M; ), where X is aperfect, compact plane set, M = fMng1n=0 is a sequence of positive numbers such that M0 = 1 and(m+n)!Mm+n ( m!Mm)...
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It is known that the designs PGn−1(n, q) in some cases have spreads of maximal -arcs. Here a -arc is a non-empty subset of points that meets every hyperplane in 0 or points. The situation for designs in general is not so well known. This paper establishes an equivalence between the existence of a spread of -arcs in the complement of a Hadamard design and the existence of an affine design and a ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1969
ISSN: 0019-2082
DOI: 10.1215/ijm/1256053440