The convolution-induced topology on \(L_\infty\)(G) and linearly dependent translates in \(L_ 1(\)G)

DOI10.1155/S0161171282000027zbMath0486.43001OpenAlexW2129281597MaRDI QIDQ1164815

Willy Govaerts, Gilbert Crombez

Publication date: 1982

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/44980

zbMATH Keywords

convolutionalmost periodic functionstrigonometric polynomialslinearly dependent translatestopology induced by convolution

Mathematics Subject Classification ID

(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) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (3)

Subspaces of $L_\infty(G)$ with unique topological left invariant mean ⋮ Finite dimensional H-invariant spaces ⋮ A CONVOLUTION-INDUCED TOPOLOGY ON THE ORLICZ SPACE OF A LOCALLY COMPACT GROUP

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