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Linear Functionals and Summability Invariants

Published online by Cambridge University Press:  20 November 2018

M. S. Macphail
Affiliation:
Carleton University, Ottawa, Canada
A. Wilansky
Affiliation:
Lehigh University, Bethlehem, Pennsylvania
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The purpose of this paper is to continue the study of certain “distinguished” subsets of the convergence domain of a matrix, as developed by A. Wilansky [6] and G. Bennett [1], We also consider continuous linear functionals on the domain, and the extent to which their representation is unique; this turns out to be connected with the behaviour of the subsets.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1974