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arXiv 1102.1460math.FA
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几乎和多项式:一个基于Infinite-Dimensional全纯观点的相容一致方法

Almost Summing Polynomials: A Coherent and Compatible Approach the from the Infinite-Dimensional Holomorphy Viewpoint

Daniel Pellegrino, Joilson Ribeiro

摘要:

本文研究了处处几乎和多项式的概念,并定义了一个自然范数,使这类多项式成为Banach多理想,它是一个全纯型(在L.Nachbin意义下),同时也是相干相容的(在D. Carando,V. Dimant和S. Muro)与几乎求和线性算子的概念。由于G.博特略

英文摘要:

In this note we explore the notion of everywhere almost summing polynomials and define a natural norm which makes this class a Banach multi-ideal which is a holomorphy type (in the sense of L.Nachbin) and also coherent and compatible (in the sense of D. Carando, V. Dimant and S. Muro) with the notion of almost summing linear operators. Similar results are not valid for the original concept of almost summing polynomials, due to G. Botelho.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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