Does any normed space X can be embedded into another normed space Y, such that X is density in the Y and dim(Y)=dim(X)+1.
A normed space embedding question
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functional-analysis
normed-spaces
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0What does $\dim Y=\dim X+1$ mean if $X$ (and $Y$) is infinitely dimensional? – 2012-10-09
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2Perhaps it is better write codimension(Y)=1 ? – 2012-10-09
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0Yes, codim(Y)=1! – 2012-10-12