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On the completeness of normed spaces

✍ Scribed by Abbas Najati


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
224 KB
Volume
23
Category
Article
ISSN
0893-9659

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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 '