Polynomials and identities on real Banach spaces |
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| Authors: | Petr Hájek Michal Kraus |
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| Affiliation: | 1. Mathematical Institute, Czech Academy of Science, ?itná 25, 115 67 Praha 1, Czech Republic;2. Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic |
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| Abstract: | ![]()
We study the duality theory for real polynomials and functions on Banach spaces. Our approach leads to a unified treatment and generalization of some classical results on linear identities and polynomial characterizations due to Fréchet, Mazur, Orlicz, Reznick, Wilson, and others. |
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