Abstract
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.
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More From: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
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