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Vladikavkazskii Matematicheskii Zhurnal, 2009, Volume 11, Number 2, Pages 46–49
(Mi vmj30)
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The order continuous dual of the regular integral operators on $L^p$
Anton R. Schep Department of Mathematics University of South Carolina, Columbia, SC, USA
Abstract:
In this paper we give two descriptions of the order continuous dual of the Banach lattics of regular integral operators on $L^p$. The first description is in terms of a Calderon space, while the second one in terms of the ideal generated by the finite rank operators.
Key words:
Integral operators, order dual, $L^p$-spaces.
Received: 11.11.2008
Citation:
Anton R. Schep, “The order continuous dual of the regular integral operators on $L^p$”, Vladikavkaz. Mat. Zh., 11:2 (2009), 46–49
Linking options:
https://www.mathnet.ru/eng/vmj30 https://www.mathnet.ru/eng/vmj/v11/i2/p46
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Abstract page: | 232 | Full-text PDF : | 275 | References: | 53 | First page: | 1 |
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