A Note on Some Results Related to Infinite Matrices on Weighted $\ell^{1}$ Spaces

Ivana Djolovic, Eberhard Malkowsky


We were motivated by the results in J.J.Williams, Q.Ye, Infinite matrices bounded on weighted $\ell^{1}$ spaces, Linear Algebra and its Applications  438(2013) 4689—4700 and present another approach

to obtain some of the results in mentioned paper, applying the theory of matrix

transformations which provides completely different techniques of the proofs.

This also demonstrates one more application of infinite matrices.

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