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math.FA2026
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…
math.FA2026
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…