Published September 1976
| public
Journal Article
On a class of valuation fields introduced by A. Robinson
- Creators
- Luxemburg, W. A. J.
Abstract
It is shown that the nonarchimedean valuation fields ^ρR introduced by A. Robinson are not only complete but are also spherically complete. Further-more, it is shown that to every normed linear space over the reals there exists a nonarchimedean normed linear space ^ρE over ^ρR in the sense of Monna which is spherically complete and extends E.
Additional Information
© Hebrew University 1976. Dedicated to the memory of A. Robinson. Work on this paper was supported in part by NSF Grant MPS 74-17845.Additional details
- Eprint ID
- 90111
- DOI
- 10.1007/bf02756999
- Resolver ID
- CaltechAUTHORS:20181003-155854296
- MPS 74-17845
- NSF
- Created
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2018-10-08Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field