2 problems

Let $X$ be a Banach space isometric to a subspace of an $L_p$-space, and let $\mathcal K(X)$ and $\mathcal L(X)$ denote the compact and bounded linear operators on $X$, respectivel…

Let $1<p,q<\infty$, and let $\ell_p(\ell_q^n)$ denote the corresponding mixed-norm sequence space. An $M$-ideal in a Banach algebra of operators is a closed subspace with the $M$-i…