Isomorphic Structure of Cesàro and Tandori Spaces

DOI10.4153/CJM-2017-055-8zbMath1430.46012arXiv1512.03336OpenAlexW3100575270MaRDI QIDQ5378578

Karol Leśnik, Serguei V. Astashkin, Lech Maligranda

Publication date: 3 June 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03336

zbMATH Keywords

Schur propertyDunford-Pettis propertyBanach ideal spacesCesàro spacesTandori spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42) Banach sequence spaces (46B45)

Related Items (5)

Quotients, \(\ell_\infty\) and abstract Cesàro spaces ⋮ On weakly almost square Banach spaces ⋮ 𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2 ⋮ Closed ideals of operators acting on some families of sequence spaces ⋮ Isomorphic and isometric structure of the optimal domains for Hardy-type operators

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