## Real Analysis Exchange

### Greedy Approximation in Certain Subsystems of the Schauder System

#### Abstract

Although the sequence of greedy approximants associated with the Schauder expansion of a function, $f$, continuous on $[0,1]$, may fail to converge, there always will be a continuous function, arbitrarily close to $f$, whose Schauder expansion does have a convergent sequence of greedy approximants. Further examination of this problem shows that the same sort of proposition is valid for a multitude of subsystems of the Schauder system.

#### Article information

Source
Real Anal. Exchange Volume 34, Number 1 (2008), 227-238.

Dates
First available in Project Euclid: 19 May 2009

http://projecteuclid.org/euclid.rae/1242738934

Mathematical Reviews number (MathSciNet)
MR2527136

#### Citation

Grigoryan, M. G.; Sargsyan, A. A.; Zink, R. E. Greedy Approximation in Certain Subsystems of the Schauder System. Real Anal. Exchange 34 (2008), no. 1, 227--238. http://projecteuclid.org/euclid.rae/1242738934.

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