On distinguished spaces Cp(X) of continuous functions

0575133 - MÚ 2024 RIV CH eng C - Conference Paper (international conference)
Kąkol, Jerzy - Leiderman, A. G.
On distinguished spaces Cp(X) of continuous functions.
Functional Analysis and Continuous Optimization. Cham: Springer, 2023 - (Amigó, J.; Cánovas, M.; López-Cerdá, M.; López-Pellicer, M.), s. 213-236. Springer Proceedings in Mathematics & Statistics, 424. ISBN 978-3-031-30013-4. ISSN 2194-1009.
[Functional Analysis and Continuous Optimization (IMFACO). Elche (ES), 16.06.2022-17.06.2022]
R&D Projects: GA ČR(CZ) GF20-22230L
Institutional support: RVO:67985840
Keywords : bidual space * distinguished space * Eberlein compact space
OECD category: Pure mathematics
https://doi.org/10.1007/978-3-031-30014-1_10

This survey paper presents a number of recent results related to the study of spaces Cp(X) of continuous real-valued functions on a Tychonoff spaces X with the pointwise topology that are distinguished, i.e. spaces Cp(X) which are large subspaces of RX, equivalently, spaces Cp(X) whose strong dual Lβ(X) of Cp(X) carries the finest locally convex topology. Some open questions are included.
Permanent Link: https://hdl.handle.net/11104/0344991