An approximate Rolle's theorem for polynomials of degree four in a Hilbert space (Q2574361)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An approximate Rolle's theorem for polynomials of degree four in a Hilbert space |
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An approximate Rolle's theorem for polynomials of degree four in a Hilbert space (English)
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21 November 2005
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Summary: We show that the fourth degree polynomials that satisfy Rolle's theorem in the unit ball of a real Hilbert space are dense in the space of polynomials that vanish in the unit sphere. As a consequence, we obtain a sort of approximate Rolle's theorem for those polynomials.
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