On the Müntz-Szász theorem for $C[0,\,1]$

doi:https://doi.org/10.1090/s0002-9939-1972-0306777-0

Open AccessArticle10.1090/s0002-9939-1972-0306777-0

On the Müntz-Szász theorem for $C[0,\,1]$

Alan Siegel-1972-01-01-Proceedings of the American Mathematical Society

TL;DRAbstract

The functions l,/*1, /*, with complex A's are shown to be incomplete in C[0,11 under conditions weaker than those proven by Szsz, and a special construction due to P. D. Lax where the functions are complete is given.

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The functions l,/*1, /*, with complex A's are shown to be incomplete in C[0,11 under conditions weaker than those proven by Szsz, and a special construction due to P. D. Lax where the functions are complete is given.

Keywords

LambdaMathematicsPure mathematicsCombinatoricsDiscrete mathematicsPhysicsQuantum mechanics

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