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math.FA2025
Mean and pointwise ergodicity for composition operators on rearrangement-invariant spaces
Thomas Kalmes, Dalimil Peša
We study ergodicity of composition operators on rearrangement-invariant Banach function spaces. More precisely, we give a natural and easy-to-check condition on the symbol of the o…
math.FA2025
On the sums of rearrangement-invariant quasi-Banach function spaces and their relationship to amalgams
Dalimil Peša
In this paper we consider the properties of sums of rearrangement-invariant quasi-Banach function spaces, with the focus being on rearrangement-invariance and the Fatou property. I…
math.FA2020★ 9 cited
Lorentz--Karamata spaces
Dalimil Peša
In this paper, we consider Lorentz--Karamata spaces with slowly varying functions and provide a comprehensive study of their properties. We consider Lorentz--Karamata functionals o…