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- W4253465250 abstract "We define for any locally compact group G, the space of bounded uniformly continuous functionals on Ä, $UCB(hat G)$, in the context of P. Eymard [Bull. Soc. Math. France 92 (1964), 181-236. MR 37 #4208] (for notations see next section). For $u in A(G)$ let ${u^ bot } = { phi in VN(G);phi [A(G)u] = 0}$. Theorem. If for some norm separable subspace $X subset VN(G)$ and some positive definite $0 ne u in A(G),UCB(hat G) subset$ norm closure $[W(hat G) + X + {u^ bot }]$ then G is discrete. If G is discrete then $UCB(hat G) subset AP(hat G) subset W(hat G)$." @default.
- W4253465250 created "2022-05-12" @default.
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- W4253465250 date "1974-03-01" @default.
- W4253465250 modified "2023-09-23" @default.
- W4253465250 title "Weakly Almost Periodic and Uniformly Continuous Functionals on the Fourier Algebra of any Locally Compact Group" @default.
- W4253465250 doi "https://doi.org/10.2307/1996867" @default.
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