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On the geometry of real polynomials

  • Boris Shekhtman
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1287)

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 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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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Boris Shekhtman
    • 1
  1. 1.Institute for Constructive Mathematics Department of MathematicsUniversity of South FloridaTampa

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