Nathalie T. Khalil

4 Questions 5 Answers 0 Followers

Questions related from Nathalie T. Khalil

Change of metric and uniform continuity?

Dear all, we know, owing to a result appearing in the book of R. M. Dudley (Real analysis and Probability - Theorem 2.8.2), that for any separable metric space (S, d), there is a metric e on S,...

04 April 2017 4,798 7 View

Weak convergence of signed measures?

Dear all, I am searching a result concerning the weak convergence of signed measures defined on the Borel algebra of a given metric space. The result that i find so far is established for weak...

02 February 2017 9,652 3 View

What is the dual space of bounded continuous functions defined on a metric space (not necessarily compact)?

What is the dual space of bounded continuous functions defined on a metric space (not necessarily compact)? (i would appreciate to have a reference for the result too)

01 January 2017 4,753 9 View

Relation between $\mu$-continuity sets and the Borel sigma-algebra?

Dear all, For any sigma-finite measure $\mu$ on the Borel subsets of a metric space X (separable if needed), we recall that a $\mu$-continuity set is any Borel set B such that $\mu(boundary of B)...

01 January 2017 3,574 4 View