Lineability and K-linear discontinuous functions

It is well known that there are Q-linear discontinuous functions from R to R. Moreover, such functions have dense graph in the real plane. In this paper, we study the existence of linear spaces contained in the family of linear discontinuous functions in the generalized context of topological vector...

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Veröffentlicht in:	Linear algebra and its applications Jg. 645; S. 52 - 67
Hauptverfasser:	Fernández-Sánchez, J., Rodríguez-Vidanes, D.L., Seoane-Sepúlveda, J.B., Trutschnig, W.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier Inc 15.07.2022 American Elsevier Company, Inc
Schlagworte:	Absolute value Discontinuous function Everywhere surjective Field Lineability Linear algebra Linear function Normed space Strongly everywhere surjective Topological vector space Vector spaces Lineability 12J99 Linear function Strongly everywhere surjective 46S10 46B87 Normed space 15A03 Field Everywhere surjective Topological vector space Discontinuous function Absolute value
ISSN:	0024-3795, 1873-1856
Online-Zugang:	Volltext
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