Kodai Mathematical Journal

Functional analysis on two-dimensional local fields

Alberto Cámara

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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.

Article information

Source
Kodai Math. J. Volume 36, Number 3 (2013), 536-578.

Dates
First available in Project Euclid: 5 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1383660698

Digital Object Identifier
doi:10.2996/kmj/1383660698

Mathematical Reviews number (MathSciNet)
MR3161556

Zentralblatt MATH identifier
1294.46069

Citation

Cámara, Alberto. Functional analysis on two-dimensional local fields. Kodai Math. J. 36 (2013), no. 3, 536--578. doi:10.2996/kmj/1383660698. https://projecteuclid.org/euclid.kmj/1383660698


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