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- W2145246598 abstract "In this note, we show that, if ( a n ) in l 1 with Σ| a n | < 2 and Σ| a n | 2 = 1, then max {| a i | + | a j |: i ≠ j } ≧ 1, but that the corresponding theorem for sequences in l p (1< p <2) fails—but only just! Applications to group algebras are given, when it is shown that elements in l 1 ( G ) with powers bounded by ½(1+ ) are bounded away from the identity e of G , but that the corresponding result for l p ( G ) is false." @default.
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- W2145246598 date "1994-10-01" @default.
- W2145246598 modified "2023-09-24" @default.
- W2145246598 title "Inequalities in l1 and lp and applications to group algebras" @default.
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- W2145246598 doi "https://doi.org/10.1017/s0013091500018940" @default.
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