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On the relationship between a summability matrix and its transpose

Part of: General summability methods Functional analytic methods in summability Direct theorems on summability

Published online by Cambridge University Press:  09 April 2009

J. Swetits
J. Swetits
Affiliation:
Department of Mathematical and Computing Sciences Old Dominion UniversityNorfold, Virginia 23508, USA
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Abstract

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Let E, F be sequence spaces and A an infinite matrix that maps E to F. Sufficient conditions are given so that the transposed matrix maps Fβ to Eβ.

MSC classification

Secondary: 40C05: Matrix methods 40D25: Inclusion and equivalence theorems 40H05: Functional analytic methods in summability
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 3 , November 1979 , pp. 362 - 368
Copyright
Copyright © Australian Mathematical Society 1979

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