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A Hierarchy Theorem for Polynomial-Space Recognition

✍ Scribed by Ibarra, Oscar H.


Book ID
118159821
Publisher
Society for Industrial and Applied Mathematics
Year
1974
Tongue
English
Weight
389 KB
Volume
3
Category
Article
ISSN
0097-5397

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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