Claus, I. H. A. W.; Dondergoor, D.; van Rooij, A. C. M. \(M\)-semigroups on spaces of continuous functions. (English) Zbl 1034.46004 Indag. Math., New Ser. 11, No. 4, 539-546 (2000). The authors describe \(M\)-seminorms (in particular, with the Fatou property) on the space \(C(U)\) with \(U\) a realcompact completely regular Hausdorff space. Reviewer: S. S. Kutateladze (Novosibirsk) Cited in 2 Documents MSC: 46A40 Ordered topological linear spaces, vector lattices Keywords:realcompact completely regular space; \(M\)-seminorm PDFBibTeX XMLCite \textit{I. H. A. W. Claus} et al., Indag. Math., New Ser. 11, No. 4, 539--546 (2000; Zbl 1034.46004) Full Text: DOI References: [1] Aliprantis, C. D.; O, Burkinshaw, Locally Solid Riesz Spaces (1978), Academic Press: Academic Press New York - San Francisco - London · Zbl 0402.46005 [2] Claus, I., ϕ-normen op \(BC (U)\), Master’s Thesis (1999), Catholic University: Catholic University Nijmegen, the Netherlands [3] Dondergoor, D., \(S\)-normen op Rieszruimten, Master’s Thesis (1999), Catholic University: Catholic University Nijmegen, the Netherlands [4] Gillman, L.; M, Jerison, Rings of Continuous Functions (1976), Springer-Verlag: Springer-Verlag New York [5] Kelley, J., General Topology (1975), Springer-Verlag: Springer-Verlag New York [6] Luxemburg, W. A.J; A. C, Zaanen, Riesz Spaces I (1971), North-Holland Publishing Company: North-Holland Publishing Company Amsterdam · Zbl 0231.46014 [7] Schmets, J., Espaces de Fonctions Continues, Lecture Notes in Mathematics 519 (1976), Springer Verlag: Springer Verlag Berlin-Heidelberg · Zbl 0334.46022 [8] Vulikh, B. Z., Introduction to the Theory of Partially Ordered Spaces (1967), Wolters-Noordhoff Scientific Publication Ltd: Wolters-Noordhoff Scientific Publication Ltd Groningen · Zbl 0186.44601 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.