Generic non-extendability and total unboundedness in function spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:475

Article

Nestoridis, V.¹  Siskakis, A. G.²  Stavrianidi, A.¹  Vlachos, S.¹ 

[1] Univ Athens, Dept Math, Athens 15784, Greece

[2] Univ Thessaloniki, Dept Math, Thessaloniki 54124, Greece

关键词: Extendability;    Total unboundedness;    Generic property;    Function space;    Localization;    Baire's theorem;   

DOI  :  10.1016/j.jmaa.2019.03.044

来源: Elsevier

【 摘 要 】

For a function space X(Omega) satisfying weak assumptions we prove that the generic function in X(Omega) 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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free