Functional analysis on two-dimensional local fields

2012/10/10 by Alberto Camara, Camara, Alberto
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Functional Analysis (math.FA) #Number Theory (math.NT) #math.AG #math.FA #math.NT

paper · pdf · doi:10.48550/arxiv.1210.2995

39 pages

arxiv created 2013/01/30 · arxiv updated 2013/01/31

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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