Article contents
Local integral metrics and Daniell-Loomis integrals
Published online by Cambridge University Press: 17 April 2009
Extract
Recently Guerrero and the first author (Diaz Carrillo) proved an anologue to Daniell's extension process which works for arbitrary nonnegative linear functionals, without any continuity conditions. With the aid of Schäfke's local integral metrics we generalise this extension process and prove convergence theorems using a suitable local mean convergence, which can be traced back to Loomis.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 48 , Issue 3 , December 1993 , pp. 411 - 426
- Copyright
- Copyright © Australian Mathematical Society 1993
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