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A Dvoretsky theorem for polynomials

Author: Seán Dineen
Journal: Proc. Amer. Math. Soc. 123 (1995), 2817-2821
MSC: Primary 46B20; Secondary 46G20
MathSciNet review: 1264807
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Abstract: We lift upper and lower estimates from linear functionals to n-homogeneous polynomials and using this result show that $ {l_\infty }$ is finitely represented in the space of n-homogeneous polynomials, $ n \geq 2$, on any infinite-dimensional Banach space. Refinements are also given.

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Article copyright: © Copyright 1995 American Mathematical Society

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