Geraldo Botelho

collaborators

3 papers

math.FA2025

Infinite dimensional spaces consisting of sequences that do not converge to zero

Mikaela Aires, Geraldo Botelho

Given a map $f : E ⟶ F$ between Banach spaces (or Banach lattices), a set $A$ of $E$ -valued bounded sequences, $x \in A$ and a vector topology $I ¨ $ on $F$ ,…

math.FA2024

Zero sets of homogeneous polynomials containing infinite dimensional spaces

Mikaela Aires, Geraldo Botelho

Let $X$ be a (real or complex) infinite dimensional linear space. We establish conditions on a homogeneous polynomial $P$ on $X$ so that, if $W$ is any finite dimensional subspace…

math.FA2024

Spaceability of sets of non-injective maps

Mikaela Aires, Geraldo Botelho

Generalizing a recent result on lineability of sets of non-injective linear operators, we prove, for quite general linear spaces $A$ of maps from an arbitraty set to a sequence spa…