ON QUANTITATIVE SCHUR AND DUNFORD–PETTIS PROPERTIES

DOI10.1017/S0004972715000076zbMath1330.46015arXiv1302.6369OpenAlexW3100062312MaRDI QIDQ5253349

Jiří Spurný, Ondřej F. K. Kalenda

Publication date: 5 June 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6369

zbMATH Keywords

quantitative Dunford-Pettis propertyquantitative Schur property

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

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Lipschitz-free spaces and Schur properties ⋮ On quantitative Gelfand-Phillips property and Phillips property ⋮ Topological properties in tensor products of Banach spaces

Cites Work

• The universality of \(\ell _{1}\) as a dual space
• On quantification of weak sequential completeness
• A class of special L//infinity spaces
• Structure of subspaces of the compact operators having the Dunford-Pettis property
• Quantitative Dunford-Pettis property
• On a difference between quantitative weak sequential completeness and the quantitative Schur property