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math.FA2015
Direct sums and summability of the Szlenk index
Szymon Draga, Tomasz Kochanek
We prove that the -sum of separable Banach spaces with uniformly summable Szlenk index has summable Szlenk index, whereas this result is no longer valid for more general direc…
math.CA2015
Reducing the polynomial-like iterative equations order and a generalized Zoltán Boros' problem
Szymon Draga, Janusz Morawiec
We present a technique for reducing the order of polynomial-like iterative equations; in particular, we answer a question asked by Wenmeng Zhang and Weinian Zhang. Our method invol…
math.CA2015
On a Zoltán Boros' problem connected with polynomial-like iterative equations
Szymon Draga, Janusz Morawiec
We determine all continuous solutions of the polynomial-like iterative equation , where is an interval. In particular, we obta…