Q-linear functions, functions with dense graph, and everywhere surjectivity

García-Pacheco, F.J.Rambla-Barreno, F.Seoane Sepúlveda, Juan Benigno2023-06-202023-06-2020080025-5521https://hdl.handle.net/20.500.14352/50461Let L, S and D denote, respectively, the set of Q-linear functions, the set of everywhere surjective functions and the set of dense-graph functions on R. In this note, we show that the sets D \ (S boolean OR L), S \ L, S boolean AND L and D boolean AND L \ S are lineable. Moreover, all these sets contain (omitting zero) a vector space of the biggest possible dimension, 2(c).engQ-linear functions, functions with dense graph, and everywhere surjectivityjournal articlehttp://www.mscand.dk/article.php?id=3080restricted access517.98LineabilityAnálisis funcional y teoría de operadores