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The Lω1ω1-theory of hilbert spaces1

Published online by Cambridge University Press:  12 March 2014

Ralph Kopperman
Ralph Kopperman*
Affiliation:
University of Rhode Island
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Extract

It will be shown later in this paper that the class of all Hilbert spaces is not an elementary class (in the wider sense) in the lower predicate calculus. It is not difficult to find a type and a sentence in Lω1ω1 (of that type) whose models are precisely the Hilbert spaces (slightly altered to include in their domains the real or complex numbers).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 32 , Issue 3 , 09 October 1967 , pp. 295 - 304
Copyright
Copyright © Association for Symbolic Logic 1967

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Footnotes

1

Work on this paper was supported by National Science Foundation Grants GP 4361 and GP 5710.

References

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