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arXiv · 2610.00584

The Separable Quotient Problem and the Lotz Property in Banach Spaces

Gustavo Araújo·Anderson Barbosa·Juan B. Seoane-Sepúlveda
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Abstract

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-dimensional Banach space lacking the Lotz property admits a separable quotient, thereby revealing a surprising connection between the SQP and semigroup theory.

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Gustavo Araújo, Anderson Barbosa, Juan B. Seoane-Sepúlveda. 2026-09-30. The Separable Quotient Problem and the Lotz Property in Banach Spaces. https://arxiv.org/abs/2610.00584

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