Editing Stone–Weierstrass theorem (section)

==Editorial history==
In 1885 it was also published in an English version of the paper whose title was ''On the possibility of giving an analytic representation to an arbitrary function of real variable''.<ref>{{cite journal| first1=Allan|last1=Pinkus| url=https://www.math.technion.ac.il/hat/fpapers/wap.pdf|title=Weierstrass and Approximation Theory|page=8|journal= Journal of Approximation Theory|volume=107|issue=1|oclc=4638498762|issn=0021-9045|access-date=July 3, 2021|archive-url=https://web.archive.org/web/20131019070518/https://www.math.technion.ac.il/hat/fpapers/wap.pdf|archive-date=October 19, 2013| url-status=live}}</ref><ref>{{cite journal|first1=Allan|last1=Pinkus|url=https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.62.520&rep=rep1&type=pdf|title=Density methods and results in approximation theory|oclc=200133324|issn=0137-6934|journal=Orlicz Centenary Volume|series=Banach Center publications |volume= 64|year=2004|publisher=Institute of Mathematics, [[Polish Academy of Sciences]]|page=3|citeseerx=10.1.1.62.520|archive-url=https://web.archive.org/web/20210703202612/https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.62.520&rep=rep1&type=pdf|archive-date=July 3, 2021|url-status=live}}</ref><ref>{{cite book|first1=Zbigniew|last1=Ciesielski|author-link1=Zbigniew Ciesielski|first2=Aleksander|last2=Pełczyński|author-link2=Aleksander Pelczynski|first3= Leszek|last3= Skrzypczak| url=https://www.google.it/search?tbm=bks&hl=it&q=%22On+the+possibility+of+giving+an+analytic+representation+to+an+arbitrary%22+weierstrass |title=Orlicz centenary volume : proceedings of the conferences "The Wladyslaw Orlicz Centenary Conference" and Function Spaces VII : Poznan, 20-25 July 2003. Vol. I, Plenary lectures|page=175|series= Banach Center publications|volume=64|publisher= Institute of Mathematics. Polish Academy of Sciences|year=2004|oclc=912348549}}</ref><ref name="arxiv_0611038v2" /><ref name="arxiv_0611034v3" /> According to the mathematician [[Lorenzo Mendoza Fleury Science Prize|Yamilet Quintana]], Weierstrass "suspected that any [[analytic function|analytic functions]] could be represented by [[power series#Analytic functions|power series]]".<ref name="arxiv_0611034v3">{{cite journal|first1=Yamilet|last1= Quintana|title=On Hilbert extensions of Weierstrass' theorem with weights|page=202|journal=Journal of Function Spaces|volume=8|issue=2|year=2010|publisher=Scientific Horizon|oclc=7180746563 |issn=0972-6802|doi=10.1155/2010/645369|doi-access= free|arxiv=math/0611034}} (arXiv 0611034v3). Citing: D. S. Lubinsky, ''Weierstrass' Theorem in the twentieth century: a selection'', in ''Quaestiones Mathematicae''18 (1995), 91–130.</ref><ref name="arxiv_0611038v2">{{cite journal|first1=Yamilet|last1= Quintana|author2=Perez D.| url=https://www.academia.edu/37183861|title=A survey on the Weierstrass approximation theorem|journal=Divulgaciones Matematicas| volume=16|issue= 1|year=2008|page=232|oclc=810468303|quote=Weierstrass' perception on analytic functions was of functions that could berepresented by power series|access-date=July 3, 2021}} (arXiv 0611038v2).</ref>