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.
Kodai Math. J.
36(3):
536-578
(October 2013).
DOI: 10.2996/kmj/1383660698
