Given a 2-homogeneous polynomial P x, y s ax q by q cxy with real coeffi-5 5 5 5 cients, let P and P denote the norms of P on the real and complex Banach r c 2 5 5 5 5 space l , respectively. We show P s P , and obtain a sufficient and necessary r c 1 condition on the coefficients a, b, and c for P
✦ LIBER ✦
Bounded and unbounded polynomials and multilinear forms: Characterizing continuity
✍ Scribed by José L. Gámez-Merino; Gustavo A. Muñoz-Fernández; Daniel Pellegrino; Juan B. Seoane-Sepúlveda
- Book ID
- 113772023
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 196 KB
- Volume
- 436
- Category
- Article
- ISSN
- 0024-3795
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