Louise Hay Logic Seminar
Noah Schoem
Anti-Choice Axioms and the Dual of $\ell^\infty$
Abstract: In most functional analysis courses, $\ell^1$ is often an example of a
Banach space that is not reflexive; that is, $(\ell^1)^*$, the dual space of $\ell^1$, is $\ell^\infty$,
but $(\ell^\infty)^*\supsetneq \ell^1$.
However, this argument requires the Axiom of Choice.
In fact, we will show that under a certain anti-choice axiom, that $(\ell^\infty)^*=\ell_1$.
Thursday October 18, 2018 at 4:00 PM in 427 SEO