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Extendibility of homogeneous polynomials on Banach spaces |
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| Authors: | Pá draig Kirwan Raymond A. Ryan |
| Affiliation: | Department of Mathematics, University College, Galway, Ireland ; Department of Mathematics, University College, Galway, Ireland |
| Abstract: | We study the  -homogeneous polynomials on a Banach space  that can be extended to any space containing  . We show that there is an upper bound on the norm of the extension. We construct a predual for the space of all extendible  -homogeneous polynomials on  and we characterize the extendible 2-homogeneous polynomials on  when  is a Hilbert space, an  -space or an  -space. |
| Keywords: | Homogeneous polynomial extendibility |
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