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math.FA2026
Lacunary Series, Nonlinear Functionals and Banach Space Structure
Istvan Berkes, Eduard Stefanescu, Robert Tichy
In a previous paper \cite{BT} we studied the asymptotic behavior of for lacunary sequences of random variables in and used the r…
math.FA2025
A Marcinkiewicz-Zygmund inequality and the Kadec Pełczynśki theorem in Orlicz spaces
Istvan Berkes, Eduard Stefanescu, Robert Tichy
In this paper, we extend the Marcinkiewicz--Zygmund inequality to the setting of Orlicz and Lorentz spaces. Furthermore, we generalize a Kadec--Pełczyński-type result -- originally…