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## Main Question or Discussion Point

Wikipedia seems fairly consistent in stating that infinite-dimensional topological vector spaces such as Hilbert space aren't locally compact, which means that they can't have a one-point compactification. As metric spaces they're Tychonoff spaces, and thus can be compactified with the Stone-Cech compactification, but this is the "maximal" construction. Does anyone know of a minimal compactification of such manifolds, in the sense that it obtains the smallest possible compact extension of such a space?

Thanks in advance.

Thanks in advance.