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

被引：3
作者：
Kim, Sung Guen [1 ]
机构：
[1] Kyungpook Natl Univ, Dept Math, Daegu 702701, South Korea
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2022年 / 88卷 / 3-4期
关键词：
norm attaining multilinear mappings; numerical radius attaining multilinear mappings; NORM; POLYNOMIALS;
D O I：
10.1007/s44146-022-00048-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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))).
引用
收藏
页码：769 / 775
页数：7
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