3 citations · 3 across the 7 of their papers we have counts for
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When surjectivity demands pathology
Piotr Kasprzak, Piotr Maćkowiak
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 tha…
On the independence of axioms for measures of non-compactness
Jerzy Grzybowski, Piotr Kasprzak, Piotr Maćkowiak
We investigate the independence of the axioms in the Banaś--Goebel approach to the theory of measures of non-compactness. We present a complete answer for four of the five axioms.…
Hyperconvexity in partial metric spaces: challenges and outlooks
Dariusz Bugajewski, Piotr Kasprzak, Olivier Olela-Otafudu
In this article, we present several different ways to define hyperconvexity in partial metric spaces. In particular, we show that the analogue of the Aronszajn--Panitchpakdi notion…