Spaceability of sets in \(L^{p} \times L^{q}\) and \(C_{0}\times C_{0}\)

DOI10.1016/J.JMAA.2016.03.063zbMath1359.43002OpenAlexW2324315860MaRDI QIDQ289504

Szymon Głąb, Filip Strobin

Publication date: 30 May 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.2016.03.063

zbMATH Keywords

convolutionporositylocally compact groups\(L^p\) spacesBanach spaces of continuous functionsspaceability

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Locally compact abelian groups (LCA groups) (22B99)

Cites Work

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• Porosity and the \(\ell^p\)-conjecture for semigroups
• Banach-Orlicz algebras on a locally compact group
• Porosity and products of Orlicz spaces
• An answer to a question on the convolution of functions
• On lineability of sets of continuous functions
• Porosity and the \(L^{p}\)-conjecture
• The \(L^ p\)-conjecture and Young's inequality
• Dichotomies for \(L^p\) spaces
• Some examples of meager sets in Banach spaces.
• POROSITY OF CERTAIN SUBSETS OF LEBESGUE SPACES ON LOCALLY COMPACT GROUPS
• Linear subsets of nonlinear sets in topological vector spaces
• ON VERY NON-LINEAR SUBSETS OF CONTINUOUS FUNCTIONS
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Algebraic and topological properties of some sets in l₁
• On certain porous sets in the Orlicz space of a locally compact group
• Dichotomies for C0(X) and C b (X) spaces
• The Non-Existence of a Banach Space of Countably Infinite Hamel Dimension
• A nonlinear Banach–Steinhaus theorem and some meager sets in Banach spaces

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