On the extension of linear operators

John J. Saccoman

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-3

Abstract:

It is well known that the Hahn-Banach theorem, that is, the extension theorem for bounded linear functionals, is not true in general for bounded linear operators. A characterization of spaces for which it is true was published by Kakutani in 1940. We summarize Kakutani's work and we give an example which demonstrates that his characterization is not valid for two-dimensional spaces.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:172574

DOI: 10.1155/S0161171201006998

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