Further results on strictly Lipschitz summing operators

2017/02/14 by Maatougui Belaala, Belaala, Maatougui, Khalil Saadi +1
Mathematics · #46B28 #47L20 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #[2010] 47B10

paper · pdf · doi:10.48550/arxiv.1702.04109

openalex publication_date 2017/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give some new characterizations of strictly Lipschitz p-summing operators. These operators have been introduced in order to improve the Lipschitz p-summing operators. Therefore, we adapt this definition for constructing other classes of Lipschitz mappings which are called strictly Lipschitz p-nuclear and strictly Lipschitz (p,r,s)-summing operators. Some interesting properties and factorization results are obtained for these new classes.

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