L. Pellegrini

activity

20082020

most citedSome Results on Subspace-Hypercyclic Operators

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2020

Relationships between Cyclic and Hypercyclic Operators

André Augusto, Leonardo Pellegrini

A bounded linear operator $T$ on a Banach space $X$ is called hypercyclic if there exists a vector $x \in X$ such that $or b (x, T)$ is dense in $X$ . The Hypercyclicity Criterion is…

math.FA2019★ 1 cited

Some Results on Subspace-Hypercyclic Operators

A. Augusto, L. Pellegrini

A bounded linear operator $T$ on a Banach space $X$ is called subspace-hypercyclic if there is a subspace $M ⊊ X$ and a vector $x \in X$ such that $or b (x, T) \cap M$ is d…

math.FA2012

Spaceability and algebrability of sets of nowhere integrable functions

Szymon Glab, Pedro L. Kaufmann, Leonardo Pellegrini

We show that the set of Lebesgue integrable functions in $[0, 1]$ which are nowhere essentially bounded is spaceable, improving a result from [F. J. García-Pacheco, M. Martín, and J…

math.FA2012

Spaceability in sets of operators on $C (K)$

Rogério Fajardo, Pedro Kaufmann, Leonardo Pellegrini

We show that when $C (K)$ does not have few operator -- in the sense of Koszmider [P. Koszmider, Banach spaces of continuous functions with few operators. Math. Ann. 300 (2004), no.…

math.FA2011

Spaceability of sets of nowhere $L^{q}$ functions

Pedro L. Kaufmann, Leonardo Pellegrini

We say that a function $f : [0, 1] \to R$ is \emph{nowhere $L^{q}$ } if, for each nonvoid open subset $U$ of $[0, 1]$ , the restriction $f ∣_{U}$ is not in $L^{q} (U)$ . For a fixed $1 \l…

math.FA2008

Uniform approximation on ideals of multilinear mappings

Geraldo Botelho, Pablo Galindo, Leonardo Pellegrini

For each ideal of multilinear mappings $M$ we explicitly construct a corresponding ideal $^{a} M$ such that multilinear forms in $^{a} M$ are exactly those which c…