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arXiv · 1811.04408

Generic non-extendability and total unboundedness in function spaces

V. Nestoridis·A. G. Siskakis·A. Stavrianidi·S. Vlachos
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Abstract

For a function space $X(\OO)$ satisfying weak assumptions we prove that the generic function in $X(\OO)$ 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.

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V. Nestoridis, A. G. Siskakis, A. Stavrianidi, S. Vlachos. 2018-11-11. Generic non-extendability and total unboundedness in function spaces. https://arxiv.org/abs/1811.04408

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