Approximation Theory, Tampa pp 161-175 | Cite as

# On the geometry of real polynomials

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## Abstract

In this article we study the structure of the space of polynomials of degree n, considered as a finite-dimensional Banach space. We give some estimates of the Banach-Mazur distance of this space and its subspaces to the classical Banach spaces *l* _{p} ^{(m)}. In the case when the degree of the polynomials is 2^{n} we show that the space can be decomposed as the direct sum of n subspaces each of which is isometric to a finite dimensional ℓ_{∞} space.

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## References

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## Copyright information

© Springer-Verlag 1987