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- W2168023247 abstract "Let G be a compact group. If the trivial representation of G is not weakly contained in the left regular representation of G on L02(G) and X is either Lp(G) for 1<p⩽∞ or C(G), then we show that every complete norm |·| on X that makes translations from (X,|·|) into itself continuous is equivalent to ||·||p or ||·||∞ respectively. If 1<p⩽∞ and every left invariant linear functional on Lp(G) is a constant multiple of the Haar integral, then we show that every complete norm |·| on Lp(G) that makes translations from (Lp(G),|·|) into itself continuous and that makes the map t↦Lt from G into L(Lp(G),|·|) bounded is equivalent to ||·||p." @default.
- W2168023247 created "2016-06-24" @default.
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- W2168023247 date "2003-01-01" @default.
- W2168023247 modified "2023-09-26" @default.
- W2168023247 title "Uniqueness of norm on Lp(G) and C(G) when G is a compact group" @default.
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- W2168023247 doi "https://doi.org/10.1016/s0022-1236(02)00059-9" @default.
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