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Stone's theorem for an additive group in a Hilbert space

✍ Scribed by Yu. M. Berezanskii; I. M. Gali; Yu. G. Kondrat'ev


Publisher
Springer US
Year
1978
Tongue
English
Weight
268 KB
Volume
11
Category
Article
ISSN
0016-2663

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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