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On the Connectedness of Certain sets in Summability Theory

Published online by Cambridge University Press:  20 November 2018

Mangalam R. Parameswaran
Mangalam R. Parameswaran*
Affiliation:
Dept. of Mathematics and Astronomy the University of Manitoba Winnipeg, R3T 2N2
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Abstract

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This note considers the question of the connectedness of the set of limit points of the A-transforms of a sequence, where A is a conservative Hausdorff, quasi-Hausdorff or Meyer-König- Ramanujan type of matrix. New proofs of some known results, as well as some new results are obtained.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 2 , 01 June 1980 , pp. 137 - 142
Copyright
Copyright © Canadian Mathematical Society 1980

References

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