Functional analysis on two-dimensional local fields
- Resource Type
- Authors
- Alberto Camara
- Source
- Kodai Math. J. 36, no. 3 (2013), 536-578
- Subject
- Pure mathematics
Functional analysis
Mathematics - Number Theory
General Mathematics
Convex set
Functional Analysis (math.FA)
Mathematics - Functional Analysis
Mathematics - Algebraic Geometry
Bounded function
FOS: Mathematics
Embedding
Point (geometry)
Number Theory (math.NT)
Local field
Algebraic Geometry (math.AG)
Mathematics
- Language
- English
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.
39 pages