Extensions of homogeneous polynomials on c
0(l
2
i
) |
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| Authors: | M L Lourenço L Pellegrini |
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| Institution: | 1. Departamento de Matemática, Universidade de S?o Paulo, CP 66281-CEP, 05315-970, S?o Paulo, Brazil
|
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| Abstract: | We show that a 2-homogeneous polynomial on the complex Banach space c
0
l
2
i
) is norm attaining if and only if it is finite (i.e, depends only on finite coordinates). As the consequence, we show that
there exists a unique norm-preserving extension for norm-attaining 2-homogeneous polynomials on c
0(l
2
i
).
The second author was supported by FAPESP, Brazil, Research Grant 01/04220-8. |
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| Keywords: | homogeneous polynomials extension of polynomials |
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