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Extreme 2-homogeneous polynomials on Hilbert spaces

✍ Scribed by Grecu, Bogdan C.


Book ID
118172361
Publisher
Taylor and Francis Group
Year
2002
Tongue
English
Weight
274 KB
Volume
25
Category
Article
ISSN
1607-3606

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πŸ“œ SIMILAR VOLUMES


Extremal Homogeneous Polynomials on Real
✍ PΓ‘draig Kirwan; Yannis Sarantopoulos; Andrew M Tonge πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 135 KB

If P is a continuous m-homogeneous polynomial on a real normed space and P 8 is the associated symmetric m-linear form, the ratio &P 8 &Γ‚&P& always lies between 1 and m m Γ‚m!. We show that, as in the complex case investigated by Sarantopoulos (1987, Proc. Amer. Math. Soc. 99, 340 346), there are P '