4 papers · 1 filter
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…
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, WiesÅaw Åliwa
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 KÄ kol, OndÅej Kurka, WiesÅaw Åliwa
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…