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math.FA2025
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…
math.FA2025
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…