On the weak and pointwise topologies in function spaces. II.

DOI10.1016/J.JMAA.2017.02.066zbMath1376.54019arXiv1608.03883OpenAlexW1903862809MaRDI QIDQ2400676

Mikołaj Krupski, Witold Marciszewski

Publication date: 29 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03883

zbMATH Keywords

sequential spaceweak topologyfunction spaceFréchet-Urysohn spacepointwise convergence topology\(C_p(X)\) space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (11)

Continuous linear images of spaces \(C_p(X)\) with the weak topology ⋮ Strong domination by countable and second countable spaces ⋮ Feral dual spaces and (strongly) distinguished spaces \(C(X)\) ⋮ On subspaces of spaces \(C_p(X)\) isomorphic to spaces \(c_0\) and \(\ell_q\) with the topology induced from \(\mathbb{R}^{\mathbb{N}}\) ⋮ On complemented copies of the space c₀ in spaces Cp(X,E)$C_p(X,E)$ ⋮ On linear continuous operators between distinguished spaces \(C_p(X)\) ⋮ Some applications of discrete selectivity and Banakh property in function spaces ⋮ Many Eberlein-Grothendieck spaces have no non-trivial convergent sequences ⋮ A note on the weak topology of spaces \(C_k(X)\) of continuous functions ⋮ A note on Banach spaces \(E\) for which \(E_w\) is homeomorphic to \(C_p(X)\) ⋮ A countable dense homogeneous topological vector space is a Baire space

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