21 citations · 41 across the 8 of their papers we have counts for
9 papers
Reflexivity of Grothendieck Spaces and Strongly Normal Sequences
Wiesław Śliwa
A normalized sequence in the dual of a Banach space is called normal if it is weak-star null, and strongly normal if [ G(y_n)=\left{x\in E:\sum_{n=1}^{\infty}|y…
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…
The two-disjoint-copies property for compact spaces, homogeneity and connection with -theory
Jerzy Kąkol, Ondřej Kurka, Wiesław Śliwa
A Tychonoff space has the two-disjoint-copies property (2DCP) if there exists a sequence of non-empty compact subsets of such that each contains two d…
On weak*-basic sequences in duals and biduals of spaces C(X) and Quojections
Jerzy Kakol, Manuel Lopez-Pellicer, Wieslaw Sliwa
We show that for infinite Tychonoff spaces X and Y the weak*-dual of Ck(X x Y) contains a basic sequence; moreover, the weak*-bidual of Ck(X) contains such a sequence as well. When…
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…
Josefson-Nissenzweig property for -spaces
T. Banakh, J. Kąkol, W. Śliwa
The famous Rosenthal-Lacey theorem asserts that for each infinite compact space the Banach space admits a quotient which is either a copy of or . The a…
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…
On the separable quotient problem for Banach spaces
J. C. Ferrando, J. Kakol, M. Lopez-Pellicer +1
While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of a particular infinitedimensional separable…