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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

5 votes
0 answers
98 views

What is a mild sufficient condition on $X$ such that $C(X, Y)$ is sequential?

Let $X$ be a topological space, $(Y, d)$ a metric space and $C(X, Y)$ the space of continuous maps with the topology of compact convergence. Question: What is a minimal topological condition on $X$ su …
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3 votes
1 answer
98 views

Vague Topologies induced by $C_c$ and $C_0$ are the same on a closed ball of finite Radon me...

Let $X$ be a locally compact Hausdorff space. Denote $C_c(X)$ and $C_0(X)$ the space of continuous functions with compact support and vanishing at infinity respectively. By Riesz representation theore …
user141240's user avatar