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

Ivana Djolović, Eberhard Malkowsky · Functional Analysis, Approximation and Computation · 2016

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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