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THE LINEAR SPAN OF PEAK FUNCTIONS

Published online by Cambridge University Press:  15 September 2005

Alexander J. Izzo
Alexander J. Izzo
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA (aizzo@math.bgsu.edu)
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Abstract

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It is shown that given a uniform algebra $A$ and a peak point $x_0$ for $A$, every function in $A$ can be expressed as a linear combination of two functions in $A$ that peak at $x_0$.

Keywords

Primary 46J1046J1530H05uniform algebrapeak pointlinear combination
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 3 , October 2005 , pp. 631 - 634
Copyright
Copyright © Edinburgh Mathematical Society 2005