Absolutely summing multilinear operators on \(\ell_p\) spaces (Q314653)

The article has interesting and non-trivial results. The authors present the connections of almost summing and absolutely summing multilinear mappings and apply them to obtain a number of new coincidence results for absolutely summing multilinear functionals on \(\ell _{p}\) spaces. \noindent They show that for any \(1\leq p\leq 2,\) continuous bilinear forms \( A\) on \(\ell _{p}\times F\), where \(F^{^{\prime }}\) has type \(2,\) are absolutely \((p;2,1)\)-summing.