[Banach] Banach spaces webinar on Friday 5/12 by Bruce Blackadar

Hi all,

Please join us for the following talk on Friday 5/12 at 9am (Central) . Zoom link: https://unt.zoom.us/j/86396583011

Hilbert Spaces Without Countable AC Bruce Blackadar (University of Nevada, Reno)

Abstract: This article examines Hilbert spaces constructed from sets whose existence is incompatible with the Countable Axiom of Choice (CC). Our point of view is twofold: (1) We examine what can and cannot be said about Hilbert spaces and operators on them in ZF set theory without any assumptions of Choice axioms, even the CC. (2) We view Hilbert spaces as ``quantized'' sets and obtain some set-theoretic results from associated Hilbert spaces.

(Joint with Ilijas Farah and Asaf Karagila)

https://researchseminars.org/talk/BanachWebinars/76/