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math.FA2026
A small Banach space without nice renormings
Todor Manev, Damian Sobota, Lyubomyr Zdomskyy
We prove that consistently and there exists a compact space whose Banach space of continuous real-valued functions is Grothendieck, has density ,…
math.FA2025
Continuous functions on limits of F-decomposable systems
Todor Manev
We introduce the concept of F-decomposable systems, well-ordered inverse systems of Hausdorff compacta with fully closed bonding mappings. A continuous mapping between Hausdorff co…
math.FA2023
Fully closed maps and LUR renormability
Todor Manev
We show that the space of continuous functions over a compact space X admits an equivalent pointwise-lowersemicontinuous locally uniformly rotund norm whenever X admits a fully clo…