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Hilbert’s irreducibility theorem for prime degree and general polynomials

✍ Scribed by Peter Müller


Book ID
110680250
Publisher
The Hebrew University Magnes Press
Year
1999
Tongue
English
Weight
888 KB
Volume
109
Category
Article
ISSN
0021-2172

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Rolle's Theorem for Polynomials of Degre
✍ Jesús Ferrer 📂 Article 📅 2002 🏛 Elsevier Science 🌐 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