A weak$^*$ separable $C(K)^*$ space whose unit ball is not weak$^*$ separable

DOI10.1090/S0002-9947-2014-05962-XzbMath1348.46019OpenAlexW2023831205MaRDI QIDQ3190729

Antonio Avilés López, Grzegorz Plebanek, José Rodríguez

Publication date: 19 September 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2014-05962-x

zbMATH Keywords

measurabilityKunen cardinalBaire \(\sigma\)-algebraweak\({}^\ast\) separability

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Counterexamples in general topology (54G20) Nonseparable Banach spaces (46B26)

Related Items (5)

Renormings concerning the lineability of the norm-attaining functionals ⋮ Monolithic spaces of measures ⋮ Open problems in Banach spaces and measure theory ⋮ Distances to spaces of measurable and integrable functions ⋮ Musing on Kunen's compact \(L\)-space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Measurability in \(C(2^\kappa)\) and Kunen cardinals
• Embedding function spaces into \(\ell_\infty/c_0\)
• Intersection numbers and weak* separability of spaces of measures
• Séparabilité vague dans l'espace des mesures sur un compact
• Borel sets in non-separable Banach spaces
• Tiling Infinite-Dimensional Normed Spaces
• Extremal and Monogenic Additive Set Functions
• Weak Baire measurability of the balls in a Banach space
• Strictly positive measures on Boolean algebras
• Some linear topological properties of $L^\infty$ of a finite measure space

This page was built for publication: A weak$^*$ separable $C(K)^*$ space whose unit ball is not weak$^*$ separable