Unconditional C-strong property of Faber–Schauder system

Given a continuous function on [ 0 , 1 ] , it is always possible to alter its values on a small set so that the modified function is continuous and has an expansion which converges unconditionally in C [ 0 , 1 ] .

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Published in:	Journal of mathematical analysis and applications Vol. 352; no. 2; pp. 718 - 723
Main Authors:	Grigoryan, M.G., Sargsyan, A.A.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15-04-2009 Elsevier
Subjects:	Basis Exact sciences and technology Functional space Mathematical analysis Mathematics Real functions Sciences and techniques of general use Unconditional convergence Functional space Basis Unconditional convergence Functional Mathematical analysis Continuous function Application Convergence
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Abstract	Given a continuous function on [ 0 , 1 ] , it is always possible to alter its values on a small set so that the modified function is continuous and has an expansion which converges unconditionally in C [ 0 , 1 ] .
AbstractList	Given a continuous function on [ 0 , 1 ] , it is always possible to alter its values on a small set so that the modified function is continuous and has an expansion which converges unconditionally in C [ 0 , 1 ] .
Author	Grigoryan, M.G. Sargsyan, A.A.
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References	Men'shov (bib004) 1942; 53 Grigoryan, Sargsyan (bib003) 2007; 13 Schauder (bib001) 1927; 26 Katznelson (bib005) 1975; 53 Grigoryan (bib014) 2003; 194 Grigorian (bib011) 1991; 17 Grigorian (bib012) 1999; 134 Oskolkov (bib008) 1976; 228 Grigorian, Zink (bib015) 2006; 134 Karlin (bib002) 1948; 15 Kheladze (bib009) 1978; 107 Goffman, Waterman (bib007) 1970; 77 Kazaryan (bib010) 1982; 119 Grigorian, Kazaryan, Soria (bib013) 2000; 352 Price (bib006) 1969; 13 Kheladze (10.1016/j.jmaa.2008.11.024_bib009) 1978; 107 Price (10.1016/j.jmaa.2008.11.024_bib006) 1969; 13 Goffman (10.1016/j.jmaa.2008.11.024_bib007) 1970; 77 Oskolkov (10.1016/j.jmaa.2008.11.024_bib008) 1976; 228 Grigorian (10.1016/j.jmaa.2008.11.024_bib015) 2006; 134 Grigoryan (10.1016/j.jmaa.2008.11.024_bib014) 2003; 194 Grigoryan (10.1016/j.jmaa.2008.11.024_bib003) 2007; 13 Schauder (10.1016/j.jmaa.2008.11.024_bib001) 1927; 26 Grigorian (10.1016/j.jmaa.2008.11.024_bib011) 1991; 17 Karlin (10.1016/j.jmaa.2008.11.024_bib002) 1948; 15 Katznelson (10.1016/j.jmaa.2008.11.024_bib005) 1975; 53 Grigorian (10.1016/j.jmaa.2008.11.024_bib013) 2000; 352 Men'shov (10.1016/j.jmaa.2008.11.024_bib004) 1942; 53 Grigorian (10.1016/j.jmaa.2008.11.024_bib012) 1999; 134 Kazaryan (10.1016/j.jmaa.2008.11.024_bib010) 1982; 119
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Snippet	Given a continuous function on [ 0 , 1 ] , it is always possible to alter its values on a small set so that the modified function is continuous and has an...
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SubjectTerms	Basis Exact sciences and technology Functional space Mathematical analysis Mathematics Real functions Sciences and techniques of general use Unconditional convergence
Title	Unconditional C-strong property of Faber–Schauder system
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