Riesz spaces of real continuous functions

An Archimedean Riesz space E is isomorphic to C ( X ) for some completely regular Hausdorff space X if and only if there exists a weak order unit e  > 0 for which E is e -uniformly complete, e -semisimple, e -separating and 2-universally e -complete.

Bibliographische Detailangaben

Veröffentlicht in:	Positivity : an international journal devoted to the theory and applications of positivity in analysis 2010-09, Vol.14 (3), p.473-480
Hauptverfasser:	Montalvo, F., Pulgarín, A., Requejo, B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of Variations and Optimal Control Optimization Econometrics Fourier Analysis Lattice theory Mathematical functions Mathematics Mathematics and Statistics Operator Theory Potential Theory Studies Topology Vector space
Online-Zugang:	Volltext
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