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arXiv · 2008.06658

A Separable Universal Homogeneous Banach Lattice

Mary Angelica Tursi
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Abstract

We prove the existence of a separable approximately ultra-homogeneous Banach lattice $\mathfrak{BL}$ that is isometrically universal for separable Banach lattices. This is done by showing that the class of Banach lattices has the Amalgamation Property, and thus finitely generated Banach lattices form a metric Fra\"iss\'e class. Some additional results about the structural properties of $\mathfrak{ BL}$ are also proven.

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Mary Angelica Tursi. 2020-08-15. A Separable Universal Homogeneous Banach Lattice. https://arxiv.org/abs/2008.06658

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