User ljubomir cukic - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T00:07:58Z http://mathoverflow.net/feeds/user/17082 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/86765/kolmogorovs-example-of-a-measurable-function-not-generally-differentiable/86804#86804 Answer by Ljubomir Cukic for Kolmogorov's example of a measurable function not (generally) differentiable Ljubomir Cukic 2012-01-27T08:48:31Z 2012-01-27T08:48:31Z <p>Kolmogorov's original paper:</p> <p>'Sur la possibilite de la definition generale de la derivee, de l'integrale et de la sommation des series divergentes', C.R. Acad. Sci. Paris 180(1925), 362-364.</p> http://mathoverflow.net/questions/70611/reference-for-proof-that-c-b-rba/72662#72662 Answer by Ljubomir Cukic for Reference for proof that \$C_b^* = rba\$ Ljubomir Cukic 2011-08-11T07:53:38Z 2011-08-11T07:53:38Z <p>The topological dual of the space of bounded continuous functions on a topological space X is isomorphic to the space of finite, zero set regular, finitely additive <em>Baire</em> set functions; see: R. F. Wheeler, A survey of Baire measures and strict topologies, Exposition. Math. 2 (1983), 97–190 (a proof is on pp. 115-117).</p> http://mathoverflow.net/questions/86765/kolmogorovs-example-of-a-measurable-function-not-generally-differentiable/86804#86804 Comment by Ljubomir Cukic Ljubomir Cukic 2012-01-29T08:22:15Z 2012-01-29T08:22:15Z Yes, see: V.M. Tikhomirov (Ed.): Selected works of A.N. Kolmogorov, Vol.1, Kluwer, pp.51-52