Banach-Steinhaus theory revisited: lineability and spaceability

DOI10.1016/J.JAT.2016.10.002zbMath1358.46019OpenAlexW2547391679WikidataQ122954053 ScholiaQ122954053MaRDI QIDQ346219

Holger Boche, Ullrich J. Mönich

Publication date: 5 December 2016

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2016.10.002

zbMATH Keywords

Banach spacesapproximationdivergenceBanach-Steinhaus theoremspaceabilitylineability

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Approximation in the complex plane (30E10) Moment problems and interpolation problems in the complex plane (30E05) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (3)

System representations for the Paley-Wiener space \(\mathcal {PW}_{\pi}^2\) ⋮ Algebraic genericity and the differentiability of the convolution ⋮ Divergence behavior of sequences of linear operators with applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On lineability of sets of continuous functions
• On limits of sequences of operators
• Linear structure of sets of divergent sequences and series
• On nonlinear condensation principles with rates
• A quantitative condensation of singularities on arbitrary sets
• Spaceability for sets of bandlimited input functions and stable linear time-invariant systems with finite time blowup behavior
• Strong divergence of reconstruction procedures for the Paley-Wiener space \(\mathcal{PW}_\pi^1\) and the Hardy space \(\mathcal{H}^1\)
• Linearity of sets of strange functions
• Topological and algebraic genericity of divergence and universality
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• A Random Banach-Steinhaus Theorem

This page was built for publication: Banach-Steinhaus theory revisited: lineability and spaceability