Linearity of sets of strange functions

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Linear subsets of nonlinear sets in topological vector spaces (2013, methodology): “In [43] it was proved that the set of these Dirichlet series f(s) such that f(it) diverges for every t ∈ R is spaceable (for further studies on this type of series we refer the interested reader to [116, 138]).”
Operator ranges and spaceability (2011, background): “There have been several further works on this notion (for example [3]) and on the weaker notion of lineability (which omits the closure condition on the subspace).”
Algebras in sets of queer functions (2007, unknown): “…that these sets of pathological functions are large in an algebraic sense: they contain a linear subspace (of large dimension), which is sometimes dense or closed, except, of course, for the zero function : see for instance [2] [5] [6] [9] [10] [12] [13] [15] [19], and [1] for a first survey.”
Lineability criteria, with applications (2013, background): “In 2005, Bayart [12] gave several useful dense-lineability criteria, but focused on divergence and universality of operators.”