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math.FA2025
Asplund spaces beyond Banach spaces
Marian Fabian, Jerzy Kcakol, Arkady Leiderman
This paper addresses the Asplund property for the space of continuous functions equipped with the compact-open topology, when is an arbitrary Tychonoff space. Motivate…
math.FA2024
Asplund spaces and the finest locally convex topology
J. Kakol, A. Leiderman
In our previous paper we systematized several known equivalent definitions of Fréchet (G\^ ateaux) Differentiability Spaces and Asplund (weak Asplund) Spaces. As an application, w…
math.FA2024
On the product of Weak Asplund locally convex spaces
Jerzy Kakol, Arkady Leiderman
For locally convex spaces, we systematize several known equivalent definitions of Fréchet (G\^ ateaux) Differentiability Spaces and Asplund (Weak Asplund) Spaces. As an applicatio…