Computable Jordan Decomposition of Linear Continuous Functionals on C[0;1]
نویسندگان
چکیده
منابع مشابه
Computable Jordan Decomposition of Linear Continuous Functionals on $C[0;1]$
By the Riesz representation theorem using the Riemann-Stieltjes integral, linear continuous functionals on the set of continuous functions from the unit interval into the reals can either be characterized by functions of bounded variation from the unit interval into the reals, or by signed measures on the Borel-subsets. Each of these objects has an (even minimal) Jordan decomposition into non-n...
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ژورنال
عنوان ژورنال: Logical Methods in Computer Science
سال: 2014
ISSN: 1860-5974
DOI: 10.2168/lmcs-10(3:13)2014