Wednesday, May 5, 2010

Stupid math question of the day

Sometimes, there are questions that seem to be fairly simple, yet I can't find the answer anywhere:


Will a vector sublattice of a Riesz space generated by a finite set be finite-dimensional?
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1 comment:

Aleksei said...

Actually, no.
Consider (1,1,1,...) and (1,1/2,1/3,...) in \ell_\infty (which is a second dual, hence order complete Banach lattice).

May 7, 2010 at 2:50 AM

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