4 papers · 1 filter
The Separable Quotient Problem and the Lotz Property in Banach Spaces
Gustavo Araújo, Anderson Barbosa, Juan B. Seoane-Sepúlveda
In this paper, in addition to establishing several new sufficient or equivalent conditions for the well-known Separable Quotient Problem (SQP), we show that every infinite-dimensio…
The Lotz Property in Weakly Compactly Generated Spaces
Gustavo Araújo, Mateus Azevedo, Flank Bezerra +1
We study whether every infinite-dimensional weakly compactly generated (WCG) Banach space fails the Lotz property. The answer is affirmative in the nonseparable case: a classical d…
On a theorem due to Murray
A. Barbosa, A. Raposo, G. Ribeiro
In this paper, we introduce the notions of -quasicomplemented and totally -quasicomplemented subspaces and we established some results under these contexts. We show, for exam…
On the set of functions that vanish at infinity and have a unique maximum
Anderson Barbosa, Gustavo Araújo
In this paper, we show that the set of continuous functions defined on that approach zero at infinity and attain their maximum at precisely one (and only one) point…