An anisotropic summability and mixed sequences

DOI10.1007/S13163-022-00450-1arXiv2204.08313MaRDI QIDQ6190463

Renato Macedo, Jamilson Ramos Campos, Joedson Santos

Publication date: 6 February 2024

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.08313

zbMATH Keywords

sequence spacesoperator idealssumming operatorsmixed summable sequences

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Operator ideals (47L20)

Cites Work

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• Type and cotype of multilinear operators
• Operator ideals related to absolutely summing and Cohen strongly summing operators
• A general Pietsch domination theorem
• Tensor characterizations of summing polynomials
• A unified Pietsch domination theorem
• Mappings between Banach spaces that send mixed summable sequences into absolutely summable sequences
• Summing multilinear operators by blocks: the isotropic and anisotropic cases
• Generalized multiple summing multilinear operators on Banach spaces
• On the transformation of vector-valued sequences by linear and multilinear operators
• Optimal estimates for summing multilinear operators
• Duality theory for generalized summing linear operators

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