For 1 ≤ p ≤ ∞, the Banach space of (real or complex) sequences (xn) such that |xn|p is absolutely summable with the *p-norm ||(xn)|| = (∑1∞|xn|p)1/p. When p = ∞, this is understood as ||(xn)|| = sup|xn| for bounded sequences. When p = 2, l2 is a Hilbert space.
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