Functional analysis on two-dimensional local fields
Number Theory
2013-01-31 v2 Algebraic Geometry
Functional Analysis
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.
Cite
@article{arxiv.1210.2995,
title = {Functional analysis on two-dimensional local fields},
author = {Alberto Camara},
journal= {arXiv preprint arXiv:1210.2995},
year = {2013}
}
Comments
39 pages