Optimal sequences of continuous functions converging to a Baire-1 function

Argyros, SA; Kanellopoulos, V

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:18:10Z
dc.date.available	2014-03-01T01:18:10Z
dc.date.issued	2002	en
dc.identifier.issn	0025-5831	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14841
dc.subject	Indexation	en
dc.subject.classification	Mathematics	en
dc.subject.other	BANACH-SPACES	en
dc.title	Optimal sequences of continuous functions converging to a Baire-1 function	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00208-002-0354-0	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00208-002-0354-0	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	A proof of Rosenthal's c(o)-index conjecture is given. Our approach uses optimal sequences of continuous functions converging to a Baire-1 function. Their existence is obtained by the "optimal sequences theorem" stated and proved here. For a sequence (g) over bar=(g(n))(n) of functions and xi a countable ordinal, the xi(th)-variation v(xi)((g) over bar) is also introduced. If (g) over bar pointwise converges to f the relation between v(xi)((g) over bar) and parallel toosc(xi) fparallel to(infinity) is completely clarified. Finally, optimal sequences associated to a Baire-1 function are defined and their existence for every Baire-1 function is provided.	en
heal.publisher	SPRINGER-VERLAG	en
heal.journalName	Mathematische Annalen	en
dc.identifier.doi	10.1007/s00208-002-0354-0	en
dc.identifier.isi	ISI:000179972200003	en
dc.identifier.volume	324	en
dc.identifier.issue	4	en
dc.identifier.spage	689	en
dc.identifier.epage	729	en