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Simple Conditions for Matrices to be Bounded Operators on lp

Published online by Cambridge University Press:  20 November 2018

David Borwein
David Borwein*
Affiliation:
Department of Mathematics University of Western Ontario London, Ontario N6A 5B7
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Abstract

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The two theorems proved yield simple yet reasonably general conditions for triangular matrices to be bounded operators on ${{l}_{p}}$. The theorems are applied to Nörlund and weighted mean matrices.

Keywords

47B3747A3040G05Triangular matricesNörlund matricesweighted meansoperators on lp
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 1 , 01 March 1998 , pp. 10 - 14
Copyright
Copyright © Canadian Mathematical Society 1998

References

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