Recent results in the theory of matrix transformations in sequence spaces

Authors

  • Eberhard Malkowsky Mathematisches Institut, Universität Giessen, Arndtstrasse 6, D-35392 Giessen, Germany Author

Keywords:

BK spaces, bases, matrix transformations

Subjects:

40H05, 46A45, 47B07

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.

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Published

1997-10-15