Revision as of 11:20, 8 June 2020

Statement of Theorem

Theorem.(Benamow-Brenier)^[1] Let

\mu _{n}

and Failed to parse (unknown function "\vu"): {\displaystyle \vu }

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-== Statement ==
+== Statement of Theorem==
-: '''Theorem.'''(Benamow-Brenier)<ref name=Santambrogio /> Let <math> \mu_{n} </math> be a sequence of tight probability measures on Polish space <math> X </math>. Then, there exists <math> \mu \in P(X) </math> and convergent subsequence <math> \mu_{n_{k}}</math> such that <math> \mu_{n_{k}} \rightarrow \mu </math> in the dual of <math> C_{b}(X) </math>. Conversely, every sequence <math> \mu_{n} \rightarrow \mu </math> is tight.
+: '''Theorem.'''(Benamow-Brenier)<ref name=Santambrogio /> Let <math> \mu_{n} </math> and <math> \vu </math>
 = References =