Compact Operators on Spaces of Sequences of Weighted Means
| Subject | Analysis |
| Title | Compact Operators on Spaces of Sequences of Weighted Means |
| Author(s) | Eberhard Malkowsky and Faruk. Özger |
| Keywords | Sequence spaces, matrix transformations, measure of noncompactness, compact operators |
| Abstract | We reduce the spaces a₀^{r}, a_{c}^{r}, a₀^{r}(Δ) and a_{c}^{r}(Δ) and simplify their dual spaces and the characterisations of matrix transformations on them in EmaFarAb.BIB.Mal2. We also obtain an estimate and a formula for the Hausdorff measure of noncompactness of some matrix operators on the spaces a₀^{r} and a_{c}^{r}, and the corresponding characterisations of compact matrix operators. |