Splitting Property for Summing Operators

Abstract In this paper, we prove an abstract version of the splitting property for summing operators, extending the classical result due to A. Pietsch and B. Maurey. Our results provide a technique that may be useful in different contexts, as illustrated in the applications.

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Publication Details

Journal
Bulletin of the Brazilian Mathematical Society New Series
Published
2026-03-11
DOI
https://doi.org/10.1007/s00574-026-00498-3
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Splitting Property for Summing Operators

Eduardo B. Silva, Alexandre C. B. Lima, Joedson Santos
Bulletin of the Brazilian Mathematical Society New Series
Advanced Banach Space Theory
article

Splitting Property for Summing Operators

Eduardo B. Silva, Alexandre C. B. Lima, Joedson Santos
article en

Abstract

Abstract In this paper, we prove an abstract version of the splitting property for summing operators, extending the classical result due to A. Pietsch and B. Maurey. Our results provide a technique that may be useful in different contexts, as illustrated in the applications.

Bulletin of the Brazilian Mathematical Society New SeriesVol. 57(2)
Universidade Estadual de Maringá (BR), Universidade Federal da Paraíba (BR)
Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Apoio à Pesquisa do Estado da Paraíba
Openalex Percentile: Top 22%
Advanced Banach Space Theory
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