Interpolation sets and the size of quotients of function spaces on a locally compact group

DOI10.1090/tran6662zbMath1360.22011arXiv1307.4941OpenAlexW1976058864MaRDI QIDQ2826772

Mahmoud Filali, Jorge Galindo

Publication date: 18 October 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4941

zbMATH Keywords

almost periodic functionslocally compact groupFourier-Stieltjes algebrainterpolation setsweakly almost periodicsemigroup compactificationalmost periodic compactification

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Group algebras of locally compact groups (22D15)

Related Items (3)

Multiple disjointness and invariant measures on minimal distal flows ⋮ Algebraic structure of semigroup compactifications: Pym's and Veech's theorems and strongly prime points ⋮ Extreme non-Arens regularity of the group algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interpolation and Sidon sets for compact groups
• Weak almost periodic functions and Fourier-Stieltjes transforms
• Almost periodic functions on semigroups
• Topological groups and related structures
• On weakly almost periodic sets
• Compact semitopological semigroups: An intrinsic theory
• Minimally weakly almost periodic groups
• Weakly almost periodic functions on semisimple Lie groups
• Algebra in the Stone-Čech compactification: theory and applications
• A note on \(G^{\mathcal {LUC}}\) and Veech's theorem
• On the analogue of Veech's theorem in the \(WAP\)-compactification of a locally compact group
• \(t\)-sets and some algebraic properties in \(\beta S\) and in \(\ell_\infty(S)^*\)
• The topological centre of a compactification of a locally compact group
• Approximable \(\mathcal {WAP}\)- and \(\mathcal {LUC}\)-interpolation sets
• Algebraic structure of semigroup compactifications: Pym's and Veech's theorems and strongly prime points
• The decomposition of certain group representations
• Commutativity and ideals in the biduals of topological algebras
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• Pseudocompactness and uniform continuity in topological groups
• The second conjugate space of a Banach algebra as an algebra
• The ubiquity of Sidon sets that are not I0
• Minimal determinants of topological centres for some algebras associated with locally compact groups
• On the size of quotients of function spaces on a topological group
• Weakly Almost Periodic Functions and Thin Sets in Discrete Groups
• On the actions of a locally compact group on some of its semigroup compactifications
• On the Second Conjugate Algebra of L ₁ (G ) of a Locally Compact Group
• Uniform Closures of Fourier-Stieltjes Algebras
• Nonseparability of Quotient Spaces of Function Algebras on Topological Semigroups
• Weakly Almost Periodic Functions and Almost Convergent Functions on a Group
• The Stone-Čech compactification of a topological semigroup
• Topological dynamics
• RIGHT CANCELLATION IN THE ${\cal L}{\cal U}{\cal C}$ -COMPACTIFICATION OF A LOCALLY COMPACT GROUP
• Weakly Almost Periodic Functions and Fourier-Stieltjes Algebras of Locally Compact Groups
• The Radical of L ∞ (G) ∗
• Set Theory
• Topological centers of certain dual algebras
• Weakly Almost Periodic Functions and Fourier-Stieltjes Transforms
• Some Corollaries to the Metrization Lemma
• Compactness conditions in topological groups.
• THE IRREGULARITY OF MULTIPLICATION IN GROUP ALGEBRAS
• Exposed points of convex sets and weak sequential convergence
• The second duals of Beurling algebras
• On Real-Valued Functions in Topological Spaces
• Correction to "On real-valued functions in topological spaces"

This page was built for publication: Interpolation sets and the size of quotients of function spaces on a locally compact group