- #1

- 12

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That is:

V=V

_{0}[itex]\supseteq[/itex]V

_{1}[itex]\supseteq[/itex]... , where each V

_{i}is properly contained in V

_{i-1}.

I know such chains must exist and I suspect that they should be easily constructed, however I am not familiar enough with infinite dimensional vector spaces to be confident with my attempts thus far.

Thanks for any help given!