26 citations · 32 across the 11 of their papers we have counts for
12 papers
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.…
Non-external Proofs of Lagrange Inversion Formula
Dominik Beck, Piotr Maćkowiak
The goal of the paper is to present two simple proofs of the Lagrange Inversion Formula for formal power series. Both proofs are non-external in the sense that they use concepts th…
High-yield large-scale suspended graphene membranes over closed cavities for sensor applications
Sebastian Lukas, Ardeshir Esteki, Nico Rademacher +10
Suspended membranes of monoatomic graphene exhibit great potential for applications in electronic and nanoelectromechanical devices. In this work, a "hot and dry" transfer process…
A fixed point theorem for mappings in partial metric spaces
Dariusz Bugajewski, Piotr Maćkowiak
In this paper we are going to prove a very general fixed point theorem for mappings acting in partial metric spaces. In that theorem we impose some conditions on behavior of consid…
Integral operators in the spaces of functions of bounded Schramm variation
Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak
In this paper we provide a full characterization of linear integral operators acting from the space of functions of bounded Jordan variation to the space of functions of bounded Sc…
On the recursive and explicit form of the general J.C.P. Miller formula with applications
Dariusz Bugajewski, Dawid Bugajewski, Xiao-Xiong Gan +1
The famous J.C.P. Miller formula provides a recurrence algorithm for the composition , where is the formal binomial series and is a formal power series, howe…
On composition and Right Distributive Law for formal power series of multiple variables
Dariusz Bugajewski, Alessia Galimberti, Piotr Maćkowiak
In the first part of the paper we prove a necessary and sufficient condition for the existence of the composition of formal power series in the case when the outer series is a seri…
Compactness in Lipschitz spaces and around
Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak
The aim of the paper is to characterize (pre)compactness in the spaces of Lipschitz/Hölder continuous mappings acting from a compact metric space to a normed space. To this end som…
Compactness in normed spaces: a unified approach through semi-norms
Jacek Gulgowski, Piotr Kasprzak, Piotr Maćkowiak
In this paper we prove two new abstract compactness criteria in normed spaces. To this end we first introduce the notion of an equinormed set using a suitable family of semi-norms…
A converse of the Banach contraction principle for partial metric spaces and the continuum hypothesis
Piotr Maćkowiak
A version of the Bessaga inverse of the Banach contraction principle for partial metric spaces is presented. Equivalence of that version and the continuum hypothesis is shown as we…
On compactness and fixed point theorems in partial metric spaces
Dariusz Bugajewski, Piotr Maćkowiak, Ruidong Wang
In this paper we examine two basic topological properties of partial metric spaces, namely compactness and completeness. Our main result claims that in these spaces compactness is…