J. Ka̧kol

activity

20152021

most citedThe Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces

7 citations · 9 across the 5 of their papers we have counts for

collaborators

10 papers

math.GN2021

On linear continuous operators between distinguished spaces $C_{p} (X)$

Jerzy Kakol, Arkady Leiderman

As proved in [16], for a Tychonoff space $X$ , a locally convex space $C_{p} (X)$ is distinguished if and only if $X$ is a $Δ$ -space. If there exists a linear continuous surjective m…

math.GN2021★ 2 cited

Basic properties of $X$ for which spaces $C_{p} (X)$ are distinguished

Jerzy Kakol, Arkady Leiderman

In our paper [18] we showed that a Tychonoff space $X$ is a $Δ$ -space (in the sense of [20], [30]) if and only if the locally convex space $C_{p} (X)$ is distinguished. Continuing t…

math.GN2020

$ω^{ω}$ -Base and infinite-dimensional compact sets in locally convex spaces

Taras Banakh, Jerzy Kąkol, Johannes Phillip Schürz

A locally convex space (lcs) $E$ is said to have an $ω^{ω}$ -base if $E$ has a neighborhood base ${U_{α} : α \in ω^{ω}}$ at zero such that $U_{β} \subseteq U_{α}$ for all $α \leq β$ . The class of…

math.FA2018

Dunford--Pettis type properties and the Grothendieck property for function spaces

Saak Gabriyelyan, Jerzy Kcakol

For a Tychonoff space $X$ , let $C_{k} (X)$ and $C_{p} (X)$ be the spaces of real-valued continuous functions $C (X)$ on $X$ endowed with the compact-open topology and the pointwise topolo…

math.FA2018

Josefson-Nissenzweig property for $C_{p}$ -spaces

T. Banakh, J. Kąkol, W. Śliwa

The famous Rosenthal-Lacey theorem asserts that for each infinite compact space $K$ the Banach space $C (K)$ admits a quotient which is either a copy of $c_{0}$ or $ℓ_{2}$ . The a…

math.GN2018

Metrizable quotients of $C_{p}$ -spaces

T. Banakh, J. Kąkol, W. Śliwa

The famous Rosenthal-Lacey theorem asserts that for each infinite compact set $K$ the Banach space $C (K)$ admits a quotient which is either a copy of $c$ or $ℓ_{2}$ . What is the…

On linear continuous operators between distinguished spaces Cp​(X)

Basic properties of X for which spaces Cp​(X) are distinguished

ωω-Base and infinite-dimensional compact sets in locally convex spaces