\(p\)-converging operators and Dunford-Pettis property of order \(p\)

DOI10.1016/j.jmaa.2018.01.051zbMath1464.46008OpenAlexW2790758458MaRDI QIDQ1706522

Lei Li, Javier Alejandro Chávez-Domínguez, Dong Yang Chen

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.051

zbMATH Keywords

\(p\)-converging operators\(p$-$(V)\) setsDunford-Pettis property of order \(p\)hereditary Dunford-Pettis property of order \(p\)weakly \(p\)-Cauchy sequences

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator ideals (47L20)

Related Items (6)

New classes of operators admitting a perturbative characterization ⋮ A study of (\(wV)\)-like property on Banach spaces ⋮ Some characterizations of almost \(p\)-convergent operators and applications ⋮ Sequentially Right Banach spaces of order $p$ ⋮ A study of reciprocal Dunford-Pettis-like properties on Banach spaces ⋮ Sequentially right-like properties on Banach spaces

Cites Work

• Topological characterisation of weakly compact operators
• A class of special L//infinity spaces
• Factoring weakly compact operators
• Dunford-Pettis sets in the space of Bochner integrable functions
• Banach ideals of p-compact operators
• The Dunford--Pettis property is not a three-space property
• Weakly \(p\)-compact, \(p\)-Banach-Saks, and super-reflexive Banach spaces
• Three-space problems in Banach space theory
• Uniform convergence of operators and Grothendieck spaces with the Dunford-Pettis property
• The hereditary Dunford-Pettis property on C(K,E)
• On the surjective Dunford-Pettis property
• Quantitative Dunford-Pettis property
• Compact operators whose adjoints factor through subspaces of l_p
• Quantification of the reciprocal Dunford–Pettis property
• Pelczynski's property (V) and weak* basic sequences
• Upper l_p-estimates in vector sequence spaces, with some applications
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
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