$\ell_q$ is not finitely representable in $\ell_p$ if $2<q<p$.

67 Views Asked by At

This seems to be a well known result in Banach space theory. It is referenced, for example, in Pietsch's book "History of Banach spaces and Linear Operator".

Where can I find a proof?

Who was the first to prove it?

Thanks in advance.