Limit orders and multilinear forms on \(\ell_p\) spaces (Q2471377)

Summary: Since the concept of limit order is a useful tool to study operator ideals, we propose an analogous definition for ideals of multilinear forms. From the limit orders of some special ideals (of nuclear, integral, \(r\)-dominated and extendible multilinear forms), we derive some properties of them and show differences between the bilinear and \(n\)-linear cases \((n\geq3)\).