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arXiv · 1210.2995

Functional analysis on two-dimensional local fields

Alberto Camara
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Abstract

We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-compact and compactoid submodules of two-dimensional local fields.

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Alberto Camara. 2013-01-30. Functional analysis on two-dimensional local fields. https://arxiv.org/abs/1210.2995

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