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Zeros of Polynomials on Banach Spaces: The Real Story

✍ Scribed by R.M. Aron; C. Boyd; R.A. Ryan; I. Zalduendo

Book ID: 111559321
Publisher: Springer
Year: 2003
Tongue: English
Weight: 108 KB
Volume: 7
Category: Article
ISSN: 1385-1292
DOI: 10.1023/a:1026278115574

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Let p n ðxÞ be the orthonormal polynomials associated to a measure dm of compact support in R: If EesuppðdmÞ; we show there is a d40 so that for all n; either p n or p nþ1 has no zeros in ðE À d; E þ dÞ: If E is an isolated point of suppðmÞ; we show there is a d so that for all n; either p n or p nþ