An index of summability for pairs of Banach spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:441

Article

Maia, Mariana¹  Pellegrino, Daniel¹  Santos, Joedson¹ 

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

关键词: Polynomials;    Multilinear mappings;    Absolutely summing operators;    Banach spaces;   

DOI  :  10.1016/j.jmaa.2016.04.030

来源: Elsevier

【 摘 要 】

We introduce the notion of index of summability for pairs of Banach spaces; for Banach spaces E, F, this index plays the role of a kind of measure of how the m-homogeneous polynomials from E to F are far from being absolutely summing. In some cases the optimal index of summability is computed. (c) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free