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Exotic Indecomposable Systems of Four Subspaces in a Hilbert Space

✍ Scribed by Masatoshi Enomoto; Yasuo Watatani


Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
235 KB
Volume
59
Category
Article
ISSN
0378-620X

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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