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arXiv · 2610.10837

When surjectivity demands pathology

Piotr Kasprzak·Piotr Maćkowiak
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Abstract

In this paper, we characterize surjective nonlinear composition operators acting between the space of sequences of bounded variation and the space of bounded sequences. We show that their generators exhibit highly pathological behavior. To complement this, we construct explicit examples, confirming that such exotic objects do in fact exist.

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Piotr Kasprzak, Piotr Maćkowiak. 2026-10-07. When surjectivity demands pathology. https://arxiv.org/abs/2610.10837

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