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Computable Riesz Representation for Locally Compact Hausdorff Spaces

โœ Scribed by Hong Lu; Klaus Weihrauch


Book ID
108126913
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
270 KB
Volume
202
Category
Article
ISSN
1571-0661

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Computable Riesz representation for the
โœ Hong Lu; Klaus Weihrauch ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 308 KB

## Abstract By the Riesz representation theorem for the dual of __C__ [0; 1], if __F__: __C__ [0; 1] โ†’ โ„ is a continuous linear operator, then there is a function __g__: [0;1] โ†’ โ„ of bounded variation such that __F__ (__f__) = โˆซ __f__ d__g__ (__f__ โˆˆ __C__ [0; 1]). The function __g__ can be normali