Trying to crack this question down but I can't even begin and don't know where to look. Hopefully some of you may shine some light.
$Let \ W_1 = \{f \in \mathfrak{F}({\Bbb R}); \ f \ is \ even\} \ and \ W_2 = \{f \in \mathfrak{F}({\Bbb R}); \ f \ is \ odd\} \ be \ subspaces \ of \ \mathfrak{F}({\Bbb R})$. Calculate $\dim(W_1 \cap W_2)$.
Appreciate any help.
HINT: Only $f\equiv0$ belongs to both $W_1$ and $W_2$.