Witnessing the lack of the Grothendieck property in \(C(K)\)-spaces via convergent sequences

DOI10.1007/s13398-020-00914-3zbMath1456.46009OpenAlexW3046387496MaRDI QIDQ2006272

Jerzy Kąkol, Aníbal Moltó

Publication date: 8 October 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00914-3

zbMATH Keywords

Grothendieck space(complemented) copy of \(c_0\)Josefson-Nissenzweig property

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

On subspaces of spaces \(C_p(X)\) isomorphic to spaces \(c_0\) and \(\ell_q\) with the topology induced from \(\mathbb{R}^{\mathbb{N}}\)

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