A Dvoretsky theorem for polynomials
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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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2817-2821
- MSC: Primary 46B20; Secondary 46G20
- DOI: https://doi.org/10.1090/S0002-9939-1995-1264807-1
- MathSciNet review: 1264807