Matrix transformations on matix domains of triangles

Subject Functional analysis
Title Matrix transformations on matix domains of triangles
Author(s) Eberhard Malkowski
Keywords matrix methods, summability
Abstract Most matrix methods of summability are given by triangles. So it is of interest to study matrix transformations on matrix domains of triangles. We present a unified approach to the solution of the main problems that arise in this context, namely the determination of the duals of those spaces, characterizations of matrix transformations and compact matrix operators on them.