Determining C0 in C(Κ) spaces

Argyros, SA; Kanellopoulos, V

dc.contributor.author	Argyros, SA	en
dc.contributor.author	Kanellopoulos, V	en
dc.date.accessioned	2014-03-01T01:22:10Z
dc.date.available	2014-03-01T01:22:10Z
dc.date.issued	2005	en
dc.identifier.issn	0016-2736	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16474
dc.subject	C(Κ) spaces	en
dc.subject	C0-sequences	en
dc.subject	Schreier families	en
dc.subject.classification	Mathematics	en
dc.subject.other	WEAKLY NULL SEQUENCES	en
dc.subject.other	BANACH-SPACES	en
dc.subject.other	SUBSETS	en
dc.subject.other	THEOREM	en
dc.subject.other	RAMSEY	en
dc.subject.other	SETS	en
dc.title	Determining C0 in C(Κ) spaces	en
heal.type	journalArticle	en
heal.identifier.primary	10.4064/fm187-1-3	en
heal.identifier.secondary	http://dx.doi.org/10.4064/fm187-1-3	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	For a countable compact metric space K and a seminormalized weakly null sequence (f(n))(n) in C(K) we provide some Upper bounds for the norm of the vectors in the linear span of a subsequence of (f(n))(n). These bounds depend on the complexity of K and also on the sequence (f(n))(n) itself. Moreover, we introduce the class of c(o)-hierarchies. We prove that for every alpha < omega(1), every normalized weakly null sequence (f(n))(n) in C(omega(omega alpha)) and every c(o)-hierarchy H generated by (f(n))(n), there exists beta <= alpha such that a sequence of beta-blocks of (f(n))(n) is equivalent to the usual basis of c(o).	en
heal.publisher	POLISH ACAD SCIENCES INST MATHEMATICS	en
heal.journalName	Fundamenta Mathematicae	en
dc.identifier.doi	10.4064/fm187-1-3	en
dc.identifier.isi	ISI:000237328600003	en
dc.identifier.volume	187	en
dc.identifier.issue	1	en
dc.identifier.spage	61	en
dc.identifier.epage	93	en