If ( X, g ) is a paranormed space, with paranorm g (see (2)), then we denote by X * the continuous dual of X , i.e. the set of all continuous linear functionals on X. If E is a set of complex sequences x = ( x k ) then E † will denote the generalized Köthe–Toeplitz dual of E
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I. J. Maddox (1969) studied this question.