Bidual of r-algebras
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We prove that the order continuous bidual of an Archimedean r-algebra is a Dedekind complete r-algebra with respect to the Arens multiplications.
KeywordsOperator Theory Function Class Positive Operator Vector Lattice Mathematical Journal
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- 1.C. D. Aliprantis and O. Burkinshaw, Positive Operators, Academic Press (1985).Google Scholar
- 6.G. Birkhoff, “Lattice theory,” Amer. Math. Soc. Colloq., No. 25 (1967).Google Scholar
- 9.V. Kudláček, “On some types of ℓ-rings,” Sb. VUT Brně, 1–2, 179–181 (1962).Google Scholar
- 10.W. A. J. Luxemburg and A. C. Zaanen, Riesz Spaces I, North-Holland (1971).Google Scholar
- 11.R. Yilmaz, “The class of r-algebras” (submitted).Google Scholar
- 12.A. C. Zaanen, Introduction to Operator Theory in Riesz Spaces, Springer (1997).Google Scholar
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