Abstract

In this paper we give a survey of recent results in the theory of matrix transfomrations between sequence spaces. We shall deal with sequence spaces that are closely related to various concepts of summability, study their topological structures, find their Schauder-bases and determine their $\beta$-duals. Further we give necessary and sufficient conditions for matrix transformations between them.

Keywords: BK spaces, bases, matrix transformations.

MSC: 40H05, 46A45, 47B07

Pages:  187--196     

Volume  49 ,  Issue  3$-$4 ,  1997