Isotone functions on partially ordered linear algebras with a multiplicative diagonal map
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- by Taen Yu Dai and Ralph DeMarr PDF
- Proc. Amer. Math. Soc. 65 (1977), 11-15 Request permission
Abstract:
The diagonal of the product of two triangular matrices is the product of the diagonals of each matrix. This idea is used to characterize Dedekind $\sigma$-complete lattice ordered linear algebras which admit isotone functions with familiar functional and order properties as possessed by the real-valued logarithm or root function.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 11-15
- MSC: Primary 06A70
- DOI: https://doi.org/10.1090/S0002-9939-1977-0485618-X
- MathSciNet review: 0485618