7 citations · 9 across the 5 of their papers we have counts for
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On linear continuous operators between distinguished spaces
Jerzy Kakol, Arkady Leiderman
As proved in [16], for a Tychonoff space , a locally convex space is distinguished if and only if is a -space. If there exists a linear continuous surjective m…
Basic properties of for which spaces are distinguished
Jerzy Kakol, Arkady Leiderman
In our paper [18] we showed that a Tychonoff space is a -space (in the sense of [20], [30]) if and only if the locally convex space is distinguished. Continuing t…
-Base and infinite-dimensional compact sets in locally convex spaces
Taras Banakh, Jerzy Kąkol, Johannes Phillip Schürz
A locally convex space (lcs) is said to have an -base if has a neighborhood base at zero such that for all . The class of…
Metrizable quotients of -spaces
T. Banakh, J. Kąkol, W. Śliwa
The famous Rosenthal-Lacey theorem asserts that for each infinite compact set the Banach space admits a quotient which is either a copy of or . What is the…
The Ascoli property for function spaces
Saak Gabriyelyan, Jan Grebík, Jerzy Kakol +1
The paper deals with Ascoli spaces and over Tychonoff spaces . The class of Ascoli spaces , i.e. spaces for which any compact subset of is…