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A Weierstrass-like theorem for real separable Hilbert spaces

✍ Scribed by A. Bertuzzi; A. Gandolfi; A. Germani


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
240 KB
Volume
32
Category
Article
ISSN
0021-9045

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Rolle's Theorem for Polynomials of Degre
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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