Rolle's Theorem for Polynomials of Degre
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Jesús Ferrer
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Article
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2002
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Elsevier Science
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English
⚖ 91 KB
In an infinite-dimensional real Hilbert space, we introduce a class of fourthdegree polynomials which do not satisfy Rolle's Theorem in the unit ball. Extending what happens in the finite-dimensional case, we show that every fourth-degree polynomial defined by a compact operator satisfies Rolle's Th