6 papers
A survey on the Asplund property for spaces of continuous functions
Marian Fabian, Jerzy Kakol, Arkady Leiderman
The Asplund property plays an important role in Banach space theory due to its connections with differentiability properties of continuous convex functions, optimization problems,…
Continuous Linear Surjections from onto Symmetric Sequence Ideals in
Jerzy Kąkol, Wiesław Śliwa
Rosenthal's classical theorem says that, for every infinite compact space , the Banach space admits a quotient isomorphic to either or . The corresponding q…
An Elementary Proof Of The Josefson-Nissenzweig Theorem For Banach Spaces C(KxL)
Jerzy Kakol, Wiesław Śliwa
In [8] probabilistic methods, in particular a variant of the Weak Law of Large Numbers related to the Bernoulli distribution, have been used to show that for every infinite compact…
Lotz-Peck-Porta and Rosenthal's theorems for spaces
Jerzy Kąkol, Ondřej Kurka, Wiesław Śliwa
For a Tychonoff space by we denote the space of continuous real valued functions on endowed with the pointwise topology. We prove that an infinite compact s…
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, we…
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 application…