Representations of functionals on absolute weighted spaces and adjoint operators

Abstract

In the present paper, we establish general representations of continuous linear functionals, which play important roles in Functional Analysis, of the absolute weighted spaces which have recently been introduced in Sarıgöl (2016, 2011), and also determine their norms. Further making use of this we give adjoint operators of matrix mappings defined on these spaces. © 2017 Ivane Javakhishvili Tbilisi State University