Remarks on the classification problem for infinite-dimensional Hilbert lattices
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- by Ronald P. Morash PDF
- Proc. Amer. Math. Soc. 43 (1974), 42-46 Request permission
Abstract:
A lattice satisfying the properties of a Hilbert lattice, but possibly reducible, possesses the relative center property. The division ring with involution $(D,\ast )$, which coordinatizes a Hilbert lattice satisfying the angle-bisection axiom and having infinite dimension, is formally real with respect to the involution, in particular having characteristic zero. Also $D$ has the property that finite sums of elements of the form $\alpha {\alpha ^\ast }$ are of the form $\beta {\beta ^\ast }$ for some $\beta \in D$.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 42-46
- MSC: Primary 06A30
- DOI: https://doi.org/10.1090/S0002-9939-1974-0404072-4
- MathSciNet review: 0404072