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- W2040893368 abstract "Suppose G is a locally compact noncompact group. For abelian such G's, it is shown in this paper that L1(G), C(G), and L∞(G) always have discontinuous translation-invariant linear forms(TILF's) while C0(G) and Lp(G) for 1 < p < ∞ have such forms if and only if GH is a torsion group for some open σ-compact subgroup H of G. For σ-compact amenable G's, all the above spaces have discontinuous left TILF's." @default.
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- W2040893368 date "1974-06-01" @default.
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- W2040893368 title "Translation-invariant linear forms on C0(G), C(G), Lp(G) for noncompact groups" @default.
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- W2040893368 doi "https://doi.org/10.1016/0022-1236(74)90064-0" @default.
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