NA(L(nl1 : l1))=NRA(L(nl1:l1))

초록

Let n >= 2 and L(E-n : E) denote the space of all continuous n-linear mappings from a Banach space E to itself. Let NA(L(E-n : E)) denote the set of all norm attaining n-linear mappings in (E-n : E) and NRA(L(E-n : E)) denote the set of all numerical radius attaining n-linear mappings in L(E-n : E). In this paper we show that NA(L(E-n : E))=NRA(L(E-n : E)) if E = l(1). We also characterize NA(L((n)l(1) : l(1))).

키워드