Functional analysis on two-dimensional local fields

Alberto Cámara

doi:10.2996/kmj/1383660698

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Home > Journals > Kodai Math. J. > Volume 36 > Issue 3 > Article

October 2013 Functional analysis on two-dimensional local fields

Alberto Cámara

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

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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 Cámara. "Functional analysis on two-dimensional local fields." Kodai Math. J. 36 (3) 536 - 578, October 2013. https://doi.org/10.2996/kmj/1383660698