On the geometry of real polynomials
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 2n 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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