I am studying functional analysis and I have never studied set theory. There is that proposition:
Let $E$ be a TVS, $f$ a linear functional over $E$. If the $kerf$ is a closed set, then $f$ is continuous.
My professor used the quotient space $E/Kerf$ and it's canonical map, treating $kerf$ as a relation of equivalence. I googled it and I found that definition in the link (Wikipedia): (https://en.wikipedia.org/wiki/Kernel_(set_theory))
My question is: what is the the relationship between the kernel in linear algebra and the one in set theory?
2026-04-12 23:42:11.1776037331
Is there any relation between Kernel in Set Theory and Linear Algebra?
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