A characterization of a class of locally compact abelian groups via Korovkin theory

DOI10.1007/BF02570885zbMath0682.22005MaRDI QIDQ1824044

Michael Pannenberg

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183782

zbMATH Keywords

Fourier transformsgroup algebracharacter groupLCA groupsfinite torsion-free rankfinite universal Korovkin systemfinite- dimensional second countable group

Mathematics Subject Classification ID

Character groups and dual objects (43A40) (L^1)-algebras on groups, semigroups, etc. (43A20) Structure of group algebras of LCA groups (22B10)

Related Items (6)

On universal Korovkin sets w. r. t positive spectral contractions ⋮ On existence of finite universal Korovkin sets in Segal algebras ⋮ On existence of finite universal Korovkin sets in the centre of group algebras ⋮ The Gleason-Kahane-Zelazko property and Korovkin systems in symmetric involutive Banach algebras ⋮ Approximate regularity of commutative Beurling algebras and Korovkin approximation ⋮ A characterization of a class of \([Z\) groups via Korovkin theory]

Cites Work

• On the universal convergence sets
• Korovkin approximation in Waelbroeck algebras
• A characterization of C(X) among algebras on planar sets by the existence of a finite universal Korovkin system
• Korovkin theorems in \(L^ p-\)spaces
• Extension of positive operators and Korovkin theorems
• Korovkin approximations in \(L_p\) - spaces
• Sur la dimension des produits Cartesiens
• Dimension-theoretical structure of locally compact groups
• Dimensions of factor spaces
• Metrization of finite dimensional groups
• On the dimension of homogeneous spaces
• A cohomological definition for locally compact Hausdorff spaces
• Approximation and Abstract Boundaries
• A discrete integral representation for polynomials of fixed maximal degree and their universal Korovkin closure.
• L'algèbre de Fourier d'un groupe localement compact
• Dimension inequalities for unions and mappings of separable metric spaces
• A zero-dimensional topological group with a one-dimensional factor group
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