SCHWARZ'S LEMMA IN NORMED LINEAR SPACES
In this paper we show that any Fréchet holomorphic function mapping the open unit ball of one normed linear space into the closed unit ball of another must be a linear mapping if the Fréchet derivative of the function at zero is a surjective isometry. From this fact we deduce a Banach-Stone theorem...
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| Publicat a: | Proc Natl Acad Sci U S A |
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| Autor principal: | |
| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
National Academy of Sciences
1969
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| Matèries: | |
| Accés en línia: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC223606/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591741/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.62.4.1014 |
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