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On weakly locally uniformly rotund norms which are not locally uniformly rotund

Szymon Draga — 2015

Colloquium Mathematicae

We show that every infinite-dimensional Banach space with separable dual admits an equivalent norm which is weakly locally uniformly rotund but not locally uniformly rotund.

A note on the order of polynomial-like iterative equations

Szymon Draga — 2016

Commentationes Mathematicae

We show that, under reasonable assumptions, two negative roots can be eliminated from the characteristic equation of a polynomial-like iterative equation. This result gives a new case where we may lower the order of such an equation.

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