Local properties of polynomials on a Banach space
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SCOPUS
- Title
- Local properties of polynomials on a Banach space
- Authors
- Aron, RM; Choi, YS; Kim, SG; Maestre, M
- Date Issued
- 2001-01
- Publisher
- UNIV ILLINOIS PRESS
- Abstract
- We introduce the concept of a smooth point of order n of the closed unit ball of a Banach space E and characterize such points for E = c(0), L-p(mu) (1 less than or equal to p less than or equal to infinity), and C(K). We show that every locally uniformly rotund multilinear form and homogeneous polynomial on a Banach space E is generated by locally uniformly rotund linear functionals on E. We also classify such points for E = c(0), L-p(mu) (1 less than or equal to p less than or equal to infinity), and C(K).
- Keywords
- EXTREME POLYNOMIALS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/19320
- DOI
- 10.1215/ijm/1258138253
- ISSN
- 0019-2082
- Article Type
- Article
- Citation
- ILLINOIS JOURNAL OF MATHEMATICS, vol. 45, no. 1, page. 25 - 39, 2001-01
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