Diagonal multilinear operators on Kothe sequence spaces

被引：3

作者：

Dimant, Veronica ^{[1
,2
]}

Villafane, Roman ^{[3
,4
]}

机构：

[1] Univ San Andres, Dept Matemat & Ciencias, Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina

[3] Univ Buenos Aires, Fac Cs Exactas & Nat, Dept Matemat, Pab 1, Buenos Aires, DF, Argentina

[4] Consejo Nacl Invest Cient & Tecn, IMAS, Buenos Aires, DF, Argentina

来源：

LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 02期

关键词：

Multilinear ideals; Kothe sequence spaces; diagonal multilinear operators; POLYNOMIALS; MULTIPLIERS; MAPPINGS; IDEALS; DUALS;

D O I：

10.1080/03081087.2017.1417968

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Kothe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequence spaces. We also define and study some properties of the ideal of (E, p)-summing multilinear mappings, a natural extension of the linear ideal of absolutely (E, p)-summing operators.

引用

页码：248 / 266

页数：19

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