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 …

There are numerous cases of discrepancies between results obtained in the setting of real
Banach spaces and those obtained in the complex context. This article is a modern …

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 …

Abstract theory of universal series and applications Page 1 Proc. London Math. Soc. (3) 96 (2008)
417–463 Cо2007 London Mathematical Society doi:10.1112/plms/pdm043 Abstract theory of …

The aim of this expository article is to present recent developments in the centuries-old
discussion on the interrelations between continuous and differentiable real valued functions …

We introduce a notion of strong algebrability of subsets of linear algebras. Our main results
are the following. The set of all sequences from $ c_0 $ which are not summable with any …

A subset $ A $ of a vector space $ X $ is called $\alpha $-lineable whenever $ A $ contains,
except for the null vector, a subspace of dimension $\alpha $. If $ X $ has a topology, then …