학술논문
Lineability in sequence and function spaces
Document Type
Working Paper
Author
Source
Studia Math. 237 (2) (2017) 119--136
Subject
Language
Abstract
It is proved the existence of large algebraic structures \break --including large vector subspaces or infinitely generated free algebras-- inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family of nonconstant differentiable real functions vanishing on dense sets, and the family of non-continuous separately continuous real functions. Lineability in special spaces of sequences is also investigated. Some of our findings complete or extend a number of results by several authors.
Comment: 18 pages, 1 figure
Comment: 18 pages, 1 figure