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 ] .

Saved in:

Bibliographic Details
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
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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 ] .
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2008.11.024