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Gap Tauberian theorems

Published online by Cambridge University Press:  17 April 2009

Jeff Connor
Jeff Connor
Affiliation:
Department of Mathematics, Ohio University, Athens OH 45701, United States of America
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In the first section we establish a connection between gap Tauberian conditions and isomorphic copies of Co for perfect coregular conservative BK spaces and in the second we give a characterisation of gap Tauberian conditions for strong summability with respect to a nonnnegative regular summability matrix. These results are used to show that a gap Tauberian condition for strong weighted mean summability is also a gap Tauberian condition for ordinary weighted mean summability. We also make a remark regarding the support set of a matrix and give a Tauberian theorem for a class of conull spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 3 , June 1993 , pp. 385 - 393
Copyright
Copyright © Australian Mathematical Society 1993

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