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An ergodic theorem for semigroups of nonexpansive mappings in a Hilbert space

✍ Scribed by Gerd Rodé


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
222 KB
Volume
85
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