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infinite dimentional subspace need not be closed

nwl

New member
Sep 21, 2019
1
Let X=C[O,1] and Y=span($X_{0},X_{1},···$), where $X_{j}={t}^{i}$, so that Y is the set of all polynomials. Y is not closed in X.
 
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topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,121
Let X=C[O,1] and Y=span(x\_{0},x\_{1},···), where X\_{j}={t}^{i}, so that Y is the set of all polynomials. Y is not closed in X.
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