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arXiv 1306.4843math.FA
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算子数列空间的度量自由与拓扑自由

Metric and topological freedom for operator sequence spaces

N. T. Nemesh, S. M. Shteiner

摘要:

本文给出了算子数列空间范畴中自由和上自由对象的刻划。首先我们证明了这一范畴具有与赋范空间范畴相同的对偶理论,然后借助于这些结果给出了度量自由和拓扑自由以及余自由对象的完整刻画。

英文摘要:

In this paper we give description of free and cofree objects in the category of operator sequence spaces. First we show that this category possess the same duality theory as category of normed spaces, then with the aid of these results we give complete description of metrically and topologically free and cofree objects.

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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