Cohen factorable p-nuclear multilinear operators

2017/02/05 by Maatougui Belaala, Belaala, Maatougui, Khalil Saadi +1
Computer Science · Mathematics · #46B25 #46G25 #47H60 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1702.01467

openalex publication_date 2017/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Basing on the work of Pellegrino et al. on factorable strongly p-summing multilinear operators, we will continue study this class of operators and borrowing the same idea for the category of p-nuclear operators. Therefore, we will construct other multilinear and polynomial ideals for which the most valuable results of the theory of p-nuclear linear operators are available, namely the Pietsch domination theorem and the well known factorization given by Cohen and Kwapien for p-nuclear operators.

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