Geodesic
Schur multiplier characterization of a class of infinite matrices
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 183-193 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $B_w(\ell ^p)$ denote the space of infinite matrices $A$ for which $A(x)\in \ell ^p$ for all $x=\{x_k\}_{k=1}^\infty \in \ell ^p$ with $|x_k|\searrow 0$. We characterize the upper triangular positive matrices from $B_w(\ell ^p)$, $1
Let $B_w(\ell ^p)$ denote the space of infinite matrices $A$ for which $A(x)\in \ell ^p$ for all $x=\{x_k\}_{k=1}^\infty \in \ell ^p$ with $|x_k|\searrow 0$. We characterize the upper triangular positive matrices from $B_w(\ell ^p)$, $1$, by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed.
Classification : 15A48, 15A60, 26D15, 47B35
Keywords: infinite matrices; Schur multipliers; discrete Sawyer duality principle; Bennett factorization; Wiener algebra and Hardy type inequalities 
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}
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Marcoci, A.; Marcoci, L.; Persson, L. E.; Popa, N. Schur multiplier characterization of a class of infinite matrices. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 1, pp. 183-193. http://geodesic.mathdoc.fr/item/CMJ_2010_60_1_a15/

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