Effective Banach spaces
Logic
2012-07-30 v1 Functional Analysis
Abstract
This thesis addresses Pour-El and Richards' fourth question from their book "Computability in analysis and physics", concerning the relation between higher order recursion theory and computability in analysis. Among other things it is shown that there is a computability structure that is uncountable. The example given is a structure on the Banach space of bounded linear operators on the set of almost periodic functions.
Cite
@article{arxiv.1207.6622,
title = {Effective Banach spaces},
author = {Bjørn Kjos-Hanssen},
journal= {arXiv preprint arXiv:1207.6622},
year = {2012}
}
Comments
Master's thesis, University of Oslo, 1997. Adviser: Dag Normann. Translated from Norwegian. Original title: "Effektive Banach-rom"