## Real Analysis Exchange

### Orthogonal Continuous Functions

#### Abstract

We consider the question of whether there is an orthonormal basis for $L^2$ consisting of continuous functions.

#### Article information

Source
Real Anal. Exchange, Volume 25, Number 2 (1999), 653-660.

Dates
First available in Project Euclid: 3 January 2009

https://projecteuclid.org/euclid.rae/1230995400

Mathematical Reviews number (MathSciNet)
MR1778518

Zentralblatt MATH identifier
1018.42016

Keywords
function space orthonormal basis

#### Citation

Hart, Joan E.; Kunen, Kenneth. Orthogonal Continuous Functions. Real Anal. Exchange 25 (1999), no. 2, 653--660. https://projecteuclid.org/euclid.rae/1230995400

#### References

• G. B. Folland, A Course in Abstract Harmonic Analysis, CRC Press, 1995.