可数类型的非阿基米德拓扑和相关操作符

Indagationes Mathematicae (Proceedings) Pub Date : 1987-03-30 DOI:10.1016/S1385-7258(87)80003-3

N. de Grande-de Kimpe

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引用次数: 8

摘要

设K是一个非阿基米德，非平凡值，完全域。给定K上的一对对偶向量空间(E, F)，研究了可计数型%plane1D;4A5;(E%plane1D;4A5; ' = F，且给定局部凸空间E， %plane1D;4A5;我们描述了E上小于%plane1D;4A5;并给出了如何从算子理想中得到可数型空间的类(S0)。

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Non-archimedean topologies of countable type and associated operators

Let K be a non-archimedean, non trivially valued, complete field. Given a dual pair of vector spaces (E, F) over K we study the finest locally convex topology of countable type %plane1D;4A5; on E such that (E%plane1D;4A5;′= F and, given a locally convex space E, %plane1D;4A5; we describe the finest topology of countable type on E coarser than %plane1D;4A5; It is also shown how the class (S₀) of spaces of countable type can be obtained from an operator ideal.

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Indagationes Mathematicae (Proceedings)

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