
Failure of the HahnBanach in ℂₚ
The HahnBanach is known to be a crucial tool in functional analysis. The following are lecture notes written a while ago for my functional analysis course on the failure of HahnBanach in the [latex]p[/latex]adic completion of [latex]\bar{\mathbb{Q}}_p[/latex] (denoted by [latex]\mathbb{C}_p[/latex]). For those who are wellversed in the basics of [latex]\mathbb{Q}_p[/latex], I would recommend skipping to…
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