On Absolute Euler Spaces and Related Matrix Operators
| Autor: | Fadime Gökçe, Mehmet Ali Sarıgöl |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Absolute Euler summability Hausdorff space General Physics and Astronomy Euler sequence Compact operator Bounded operators Hausdorff measures of noncompactness Sequence spaces Base (group theory) Euler method Matrix transformations symbols.namesake Matrix (mathematics) symbols Euler's formula Dual polyhedron Mathematics |
| Popis: | In the present paper, we extend Euler sequence spaces $$e_p^r$$ and $$e_{\infty }^r$$ by using the absolute Euler method in place of p-summable, which include the spaces $$l_p$$ , $$l_{\infty }$$ , $$e_p^r$$ and $$e_{\infty }^r$$ , investigate some topological structures, and determine $$\alpha $$ -, $$\beta $$ -, $$\gamma $$ -duals and base. Further, we characterize certain matrix and compact operators on those spaces, and also obtain their norms and Hausdorff measures of noncompactness. |
| Databáze: | OpenAIRE |
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