A. Leiderman

collaborators

4 papers

math.FA2025

Asplund spaces $C_{k} (X)$ beyond Banach spaces

Marian Fabian, Jerzy Kcakol, Arkady Leiderman

This paper addresses the Asplund property for the space of continuous functions $C_{k} (X)$ equipped with the compact-open topology, when $X$ is an arbitrary Tychonoff space. Motivate…

math.GN2025

On uniformly continuous surjections between $C_{p}$ -spaces over metrizable spaces

A. Eysen, A. Leiderman, V. Valov

Let $X$ be metrizable, $Y$ be perfectly normal and suppose that there exists a uniformly continuous surjection $T : C_{p} (X) \to C_{p} (Y)$ (resp., $T : C_{p}^{*} (X) \to C_{p}^{*} (Y)$ ), w…

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 FrÃ©chet (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 FrÃ©chet (G\^ ateaux) Differentiability Spaces and Asplund (Weak Asplund) Spaces. As an applicatio…

Asplund spaces Ck​(X) beyond Banach spaces

On uniformly continuous surjections between Cp​-spaces over metrizable spaces

Asplund spaces and the finest locally convex topology

On the product of Weak Asplund locally convex spaces

Asplund spaces $C_{k} (X)$ beyond Banach spaces

On uniformly continuous surjections between $C_{p}$ -spaces over metrizable spaces