On Signed a-Adic Expansions and Weakly Almost Periodic Functions

DOI10.1112/PLMS/S3-63.3.620zbMath0748.43004OpenAlexW1985645905MaRDI QIDQ3988489

Wolfgang A. F. Ruppert

Publication date: 28 June 1992

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-63.3.620

zbMATH Keywords

topological groupcompactificationsuniformitytopologyGrothendieck's double limit criterioncompact semitopological semigroupHausdorff completionEberlein weakly almost periodic functionssemitopological compactification\(a\)-adic expansionsweakly almost periodic compactifications

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Compact groups (22C05) Structure of topological semigroups (22A15) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (4)

Shift invariant preduals of \(\ell_1(\mathbb Z)\) ⋮ Digital representation of semigroups and groups ⋮ Compactifications of Locally Compact Groups and Closed Subgroups ⋮ The set of idempotents in the weakly almost periodic compactification of the integers is not closed

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