Geodesic
A Hardy-Davies-Petersen Inequality for a Class of Matrices
Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 458-465

Voir la notice de l'article provenant de la source Cambridge University Press

Let ω be the set of all real sequences a = {an} n ≧0. Unless otherwise indicated operations on sequences will be coordinatewise. If any component of a has the entry oo the corresponding component of a-1 has entry zero. The convolution of two sequences s and q is given by s * q. The Toeplitz martix associated with sequence s is the lower triangular matrix defined by tnk = sn-k (n ≧ k), tnk = 0 (n < k). It can be seen that Ts(q) = s * q for each sequence q and that Ts is invertible if and only if s0 ≠ 0. We shall denote a diagonal matrix with diagonal sequence s by Ds. 
Jr., P. D. Johnson; Mohapatra, R. N. A Hardy-Davies-Petersen Inequality for a Class of Matrices. Canadian journal of mathematics, Tome 30 (1978) no. 3, pp. 458-465. doi: 10.4153/CJM-1978-040-9
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