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A Bernstein–Markov Theorem for Normed Spaces

✍ Scribed by Lawrence A. Harris

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
172 KB
Volume
208
Category
Article
ISSN
0022-247X

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✦ Synopsis

Ž .

Ž . 5 5 function satisfying x q y F x q y for all x, y g X. We show that there exist optimal constants c such that if P: X ª Y is any polynomial satisfying

and 0 F k F m. We obtain estimates for these constants and present applications to polynomials and multilinear mappings in normed spaces.

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## Abstract We study the Bernstein type problem for complete submanifolds in the space forms. In particular, we prove that any complete super stable minimal submanifolds in an (__n__ + __p__)‐dimensional Euclidean space \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\m