Generic non-extendability and total unboundedness in function spaces
Complex Variables
2018-11-13 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
For a function space satisfying weak assumptions we prove that the generic function in is totally unbounded, hence non-extendable. We provide several examples of such spaces; they are mainly localized versions of classical function spaces and intersections of them.
Keywords
Cite
@article{arxiv.1811.04408,
title = {Generic non-extendability and total unboundedness in function spaces},
author = {V. Nestoridis and A. G. Siskakis and A. Stavrianidi and S. Vlachos},
journal= {arXiv preprint arXiv:1811.04408},
year = {2018}
}
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17 pages