J. Kcakol

activity

20172025

collaborators

3 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.FA2021

A note on Banach spaces $E$ admitting a continuous map from $C_{p} (X)$ onto $E_{w}$

Jerzy Kcakol, Arkady Leiderman, Artur Michalak

$C_{p} (X)$ denotes the space of continuous real-valued functions on a Tychonoff space $X$ endowed with the topology of pointwise convergence. A Banach space $E$ equipped with the wea…

math.FA2017

Fundamental bounded resolutions and quasi- $(D F)$ -spaces

J. C. Ferrando, S. Gabriyelyan, J. Kcakol

We introduce a new class of locally convex spaces $E$ , under the name quasi- $(D F)$ -spaces, containing strictly the class of $(D F)$ -spaces. A locally convex space $E$ is called a qu…

Asplund spaces Ck​(X) beyond Banach spaces

A note on Banach spaces E admitting a continuous map from Cp​(X) onto Ew​

Fundamental bounded resolutions and quasi-(DF)-spaces

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

A note on Banach spaces $E$ admitting a continuous map from $C_{p} (X)$ onto $E_{w}$

Fundamental bounded resolutions and quasi- $(D F)$ -spaces