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.
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| Veröffentlicht in: | Positivity : an international journal devoted to the theory and applications of positivity in analysis 2010-09, Vol.14 (3), p.473-480 |
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| container_title | Positivity : an international journal devoted to the theory and applications of positivity in analysis |
| container_volume | 14 |
| creator | Montalvo, F. Pulgarín, A. Requejo, B. |
| description | 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. |
| doi_str_mv | 10.1007/s11117-009-0031-6 |
| format | Article |
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E
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C
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X
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X
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e
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E
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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.</abstract><cop>Basel</cop><pub>SP Birkhäuser Verlag Basel</pub><doi>10.1007/s11117-009-0031-6</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1385-1292 |
| ispartof | Positivity : an international journal devoted to the theory and applications of positivity in analysis, 2010-09, Vol.14 (3), p.473-480 |
| issn | 1385-1292 1572-9281 |
| language | eng |
| recordid | cdi_proquest_journals_749616821 |
| source | SpringerNature Journals; EBSCOhost Business Source Complete |
| subjects | 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 |
| title | Riesz spaces of real continuous functions |
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