Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem
DOI10.4064/FM218-6-2023arXiv2207.13990OpenAlexW4388837112MaRDI QIDQ6146729
Damian Sobota, Lyubomyr Zdomskyy, Jerzy Kąkol
Publication date: 31 January 2024
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.13990
weak topologiesconvergence of measuresGrothendieck propertyinverse systemsGrothendieck spacesJosefson-Nissenzweig theoremEfimov spaces
Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of measures, convergence of measures (28A33) Banach spaces of continuous, differentiable or analytic functions (46E15) Spaces of measures (46E27) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A non-reflexive Grothendieck space that does not contain \(l_{\infty }\)
- Barrelledness of the space of vector valued and simple functions
- A dichotomy for the convex spaces of probability measures
- On Efimov spaces and Radon measures
- Note on the spaces P(S) of regular probability measures whose topology is determined by countable subsets
- Minimally generated Boolean algebras
- Un nouveau \(C(K)\) qui possède la propriété de Grothendieck
- Weak sequential convergence in the dual of a Banach space does not imply norm convergence
- Grothendieck spaces
- \(w^*\) sequential convergence
- On the existence of uniformly distributed sequences in compact topological spaces. II
- Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively
- Some remarks on countably determined measures and uniform distribution of sequences
- Convergence of measures in forcing extensions
- Josefson-Nissenzweig property for \(C_p\)-spaces
- Efimov spaces and the separable quotient problem for spaces \(C_{p}(K)\)
- Measures on minimally generated Boolean algebras
- Topics in Banach Space Theory
- $H^{∞}$ is a Grothendieck space
- On the density of Banach spaces 𝐶(𝐾) with the Grothendieck property
- C(K, E) Contains a Complemented Copy of c 0
- Uniform regularity of measures on compact spaces.
- On the Existence of Uniformly Distributed Sequences in Compact Topological Spaces. I
- Countable tightness in the spaces of regular probability measures
- Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
- On Homogeneous Measure Algebras
This page was built for publication: Grothendieck $C(K)$-spaces and the Josefson–Nissenzweig theorem
