4 papers
On the size of the set of unbounded multilinear operators between Banach spaces
V. V. Favaro, D. Pellegrino, P. Rueda
Among other results we investigate -lineability of the set of non-continuous -linear operators defined between normed spaces as a subset of the space of all…
Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms
Daniel Núñez Alarcón, Daniel Marinho Pellegrino, Diana Marcela Serrano Rodríguez
Using elementary techniques, we prove sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms. In particular, we recover an inequality proved by F. Bayart in…
Lineability and spaceability: a new approach
Vinícius Fávaro, Daniel Pellegrino, Daniel Tomaz
The area of research called \textquotedblleft Lineability\textquotedblright% \ looks for linear structures inside exotic subsets of vector spaces. In the last decade lineability/sp…
On very non-linear subsets of continuous functions
G. Botelho, D. Cariello, V. V. Fávaro +2
In this paper we continue the study initiated by Gurariy and Quarta in 2004 on the existence of linear spaces formed, up to the null vector, by continuous functions that attain the…