A note on the admissibility of modular function spaces

DOI10.1016/j.jmaa.2016.11.047zbMath1369.46023OpenAlexW2555990892MaRDI QIDQ730229

Diana Caponetti, Grzegorz Lewicki

Publication date: 23 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.047

zbMATH Keywords

fixed pointmodular function spaceadmissible space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Fixed-point theorems (47H10) Modular spaces (46A80)

Related Items (1)

An example regarding Kalton's paper ‘isomorphisms between spaces of vector-valued continuous functions’

Cites Work

• Fixed point theorems for generalized asymptotic pointwise \(\rho\)-contraction mappings involving orbits in modular function spaces
• On asymptotic pointwise nonexpansive mappings in modular function spaces
• Orlicz spaces and modular spaces
• Leray-Schauder theory without local convexity
• On asymptotic pointwise contractions in modular function spaces
• Common fixed points in partially ordered modular function spaces
• ON THE ADMISSIBILITY OF THE SPACE L₀(<TEX>$\mathcal{A}$</TEX>,X) OF VECTOR-VALUED MEASURABLE FUNCTIONS
• Fixed Point Theory in Modular Function Spaces
• Fixed point theory in modular function spaces
• Un espace métrique linéaire qui n'est pas un rétracte absolu
• Degree of Mapping in Convex Linear Topological Spaces
• Asymptotically nonexpansive mappings in modular function spaces
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