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math.FA2022
Characterizations of derivations on spaces of smooth functions
Włodzimierz Fechner, Aleksandra Świątczak
We provide a list of equivalent conditions under which an additive operator acting on a space of smooth functions on a compact real interval is a multiple of the derivation.
math.FA2020
On the -equivalence and permutations of series
Artur Bartoszewicz, Włodzimierz Fechner, Aleksandra Świątczak +1
Assume that a convergent series of real numbers has the property that there exists a set such that the series $\sum\limits_{n \in A}…
math.FA2018
Sincov's inequalities on topological spaces
Włodzimierz Fechner
Assume that is a non-empty set and and are real or complex mappings defined on the product . Additive and multiplicative Sincov's equations are: $$T(x,z) =…