On Absolute Euler Spaces and Related Matrix Operators

Abstract

In the present paper, we extend Euler sequence spaces epr and e?r by using the absolute Euler method in place of p-summable, which include the spaces lp, l?, epr and e?r, investigate some topological structures, and determine ?-, ß-, ?-duals and base. Further, we characterize certain matrix and compact operators on those spaces, and also obtain their norms and Hausdorff measures of noncompactness. © 2019, The National Academy of Sciences, India.