On matrix operators on the series space |n¯p?|k

Abstract

In recent years, the space |N¯p?|k has been generated from the set of k -absolutely convergent series lk as the set of series summable by the absolute weighted method. We investigate some properties of this space, such as ß -duality and the relationship with lk and then show that each element in the classes (|N¯p

N¯q?|k) and (|N¯p?|k|N¯q|) of infinite matrices corresponds to a continuous linear operator and also characterizes these classes. Hence, in a special case, we deduce some well-known results of Sarıgöl, Bosanquet, Orhan, and Sunouchi. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.