On lineability of sets of continuous functions

By Vladimir I. Gurariy, Lucas Quarta. 2004

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How researchers see this paper

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Operator ranges and spaceability (2011, background): “The term ‘spaceable’ was introduced in [2] (see also [15]).”
Strong algebrability of sets of sequences and functions (2012, background): “Gurariy and Quarta have shown in [14] that E is spaceable.”
Algebraic genericity of strict-order integrability (2010, background): “In this respect, let us recall some recent terminology introduced in [1], [3], [5] and [8].”
On dense-lineability of sets of functions on R (2009, background): “The terminology of lineable and spaceable was introduced by Gurariy in [1,2] (see [3] as well).”
Algebrability of the set of non-convergent Fourier series (2006, background): “We believe that the terms lineable and spaceable were first introduced in [5] and, later, in [2] and [7] (see also [1]).”
Linear subsets of nonlinear sets in topological vector spaces (2013, background): “One of the first results in the topic of lineability was due to Gurariy and Quarta [181].”
Lineability criteria, with applications (2013, background): “To this respect, let us recall some recent terminology introduced in [7], [12], [24] and [61].”
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.”