Schur multiplier characterization of a class of infinite matrices
by
Anca Nicoleta Marcoci
Technical University of Civil Engineering of Bucharest, The Institute of Mathematics of the Romanian Academy

The talk is based on joint results with L. Marcoci and N. Popa. For 1 < p < ∞, we consider the space B_w(l^p), the space of all bounded operators from the cone of modulus decreasing sequences of real numbers from l^p on l^p. We use a matrix operations introduced by N. Popa which extends to general matrices the usual product of a Toeplitz matrix A and a complex scalar c. Using the results about multipliers given by G. Bennett, we characterize the upper triangular positive matrices from B_w(l^p) studying the behavior of [c].

Date received: May 29, 2008