Stefano Ciaci

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20212023

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math.FA2022

Locally almost square Banach lattices

Stefano Ciaci

A Banach space is locally almost square if, for every $y$ in its unit sphere, there exists a sequence $(x_{n})$ in its unit sphere such that $lim ∥ y \pm x_{n} ∥ = 1$ . A Banach space is w…

math.FA2022

Transfinite almost square Banach spaces

Antonio Avilés, Stefano Ciaci, Johann Langemets +2

It is known that a Banach space contains an isomorphic copy of $c_{0}$ if, and only if, it can be equivalently renormed to be almost square. We introduce and study transfinite versio…