Interpolation sets for subalgebras ofl∞(Z)

Interpolation sets for subalgebras ofl∞(Z)
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l∞(Z) 子代数的插值集

DOI:
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发表时间:
1983
期刊:
影响因子:
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通讯作者:
B. Weiss
B. Weiss
中科院分区:
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文献类型:
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作者:
S. Glasner;B. Weiss

文献摘要

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设U是由极小函数生成的l∞(Z)的子代数。F-插值集的集合被认为是Z的小子集的理想。证明了1-∞子代数A的不变理想与A-插值集集合之间的关系的一般定理。
LetU be the subalgegra ofl∞(Z) generated by the minimal functions. The collection ofU-interpolation sets is identified as the ideal of small subsets ofZ. General theorems about the relation between invariant ideals and collections ofA-interpolation sets, for subalgebrasA ofl∞, are proven.