Bringing together research that was otherwise scattered throughout the literature, this book
collects the main results on the conditions for the existence of large algebraic substructures …

Analysis is the study of limiting processes. Not every limiting process, of course, converges,
but examples have been found where processes diverge in a maximal way. Such an …

For the last decade there has been a generalized trend in mathematics on the search for
large algebraic structures (linear spaces, closed subspaces, or infinitely generated …

On lineability of sets of continuous functions Page 1 J. Math. Anal. Appl. 294 (2004) 62–72
www.elsevier.com/locate/jmaa On lineability of sets of continuous functions Vladimir I. Gurariya …

Lineability is a property enjoyed by some subsets within a vector space X. A subset A of X is
called lineable whenever A contains, except for zero, an infinite dimensional vector …

A subset $ M $ of a topological vector space $ X $ is called lineable (respectively,
spaceable) in $ X $ if there exists an infinite dimensional linear space (respectively, an …

In these notes we report on recent progress in the theory of hypercyclic and chaotic
operators. Our discussion will be guided by the following fundamental problems: How to …

We find large algebraic structures inside the following sets of pathological functions:(i)
perfectly everywhere surjective functions,(ii) differentiable functions with almost nowhere …

A subset M of a topological vector space X is said to be dense-lineable in X if there exists an
infinite dimensional linear manifold in M∪{0} and dense in X. We give sufficient conditions …

Recent contributions on spaceability have overlooked the applicability of results on operator
range subspaces of Banach spaces or Fréchet spaces. Here we consider general results on …