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Addendum to "On the Multiplicative Behavior of Regular Matrices"

1975; American Mathematical Society; Volume: 48; Issue: 1 Linguagem: Inglês

10.2307/2040732

1088-6826

Robert E. Atalla,

Advanced Topics in Algebra

(i) lim(m ) supla n n N}= 0, and (ii) the bounded convergence field is an algebra. Since then we learned that essentially the same matrix appeared in the 1951 paper of G. A. Garreau L2], who used it as an example of a matrix which sums a sequence lx n to 0 iff 1jxnj} is (C, 1) summable to 0. The connection of this matrix to multiplicative summability is noted by G. M. Petersen L3], L4], where reference to Garreau's paper is made.