全纯映射空间上的复合运算

IF 0.6 4区数学 Q3 MATHEMATICS

Quarterly Journal of Mathematics Pub Date : 2020-03-01 DOI:10.1093/qmathj/haz035

María D Acosta;Pablo Galindo;Luiza A Moraes

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引用次数: 0

摘要

讨论复Banach空间开子集上全纯映射在若干空间上复合的连续性。在有界集合上有界的整个映射的正则空间上，复合是偶全纯的。在这样的空间中，我们考虑在左右复合下封闭的线性子空间。讨论了这些子空间与理想算子的关系，并给出了几个例子。我们还提供了组成不连续的全纯映射空间的自然例子。

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The Composition Operation on Spaces of Holomorphic Mappings

We discuss the continuity of the composition on several spaces of holomorphic mappings on open subsets of a complex Banach space. On the Fréchet space of entire mappings that are bounded on bounded sets, the composition turns out to be even holomorphic. In such a space, we consider linear subspaces closed under left and right composition. We discuss the relationship of such subspaces with ideals of operators and give several examples of them. We also provide natural examples of spaces of holomorphic mappings where the composition is not continuous.

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来源期刊

Quarterly Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.