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Extending a theorem of A. M. Liapunov to Hilbert space

✍ Scribed by Richard Datko


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
310 KB
Volume
32
Category
Article
ISSN
0022-247X

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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