  We provide two general spaceability criteria, and we apply them to several
specific topological vector spaces. As a consequence of our main results, we
can extend and verify several classical results of this theory, as well as we
can ensure the existence, except for zero, of large algebraic structures
within, for example, spaces of Lebesgue measurable or continous functions, of
several sequence spaces, of H\"older or Sobolev spaces, spaces of
non-absolutely summing operators or even in the space of functions of bounded
variation.
