On the paranormed space L(t) of double sequences

Abstract

In this paper, we introduce the paranormed sequence space L(t) which is the generalization of the space L q of all absolutely q−summable double sequences. We examine some topological properties of the space L(t) and determine its alpha-, beta-and gamma-duals. Finally, we characterize some classes of four-dimensional matrix transformations from the space L(t) into some spaces of double sequences.