Now showing items 1-2 of 2
Lineability in sequence and function spaces [Article]
(Polish Academy of Sciences, Institute of Mathematics, 2017)
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside, among others, the family of Lebesgue measurable functions that are surjective in a ...
The algebraic size of the family of injective operators [Article]
(De Gruyter Open, 2017-01)
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every ...