How can I show that $c_{0}$ cannot be complemented in $\ell^{\infty}$? Complement in the following sense
$$c_{0}+V = \ell^{\infty}$$
And the projections are continuous.
How can I show that $c_{0}$ cannot be complemented in $\ell^{\infty}$? Complement in the following sense
$$c_{0}+V = \ell^{\infty}$$
And the projections are continuous.