SUMMING MULTILINEAR OPERATORS AND SEQUENCE CLASSES

被引：1

作者：

Botelho, Geraldo ^{[1
]}

Freitas, Davidson ^{[2
]}

机构：

[1] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, Brazil

[2] IMECC UNICAMP, Dept Matemat, BR-13083859 Campinas, Brazil

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 63卷 / 02期

关键词：

Banach spaces; summing multilinear operators; Banach ideals; sequence classes; INCLUSION THEOREMS; POLYNOMIAL IDEALS; SUMMABILITY; MAPPINGS; INEQUALITY; SPACES;

D O I：

10.12775/TMNA.2023.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. We construct a general framework that generates classes of multilinear operators between Banach spaces which encompasses, as particular cases, the several classes of summing type multilinear operators that have been studied individually in the literature. Summing operators by blocks in the isotropic and anisotropic cases are taken into account. The classes we create are shown to be Banach ideals of multilinear operators and applications to coherence and coincidence theorems are provided.

引用

页码：617 / 644

页数：28

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