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Eigenvectors and surjectivity for α-lipschitz mappings in banach spaces |
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| Authors: | Mario Martelli Alfonso Vignoli |
| Institution: | 1. Istituto Matematico ? Ulisse Dini ?, Viale Morgagni 67/A, Firenze, Italy 2. Mathematics Institute University of Warwick, Coventry, G.B. 3. Dept. of Math., University of California, 94720, Berkeley, Calif., USA 4. Istituto di Matematica, Via L. B. Alberti 4, Genova, Italy |
| Abstract: | Summary The main purpose of this paper is to find the conditions under which an lipschitz mapping, defined in a Banach space, admits eigenvectors. We then apply the obtained results to some surjectivity problems proving theorems which contain, as particular cases, the well known theorems of Rothe, Krasnoselskij and Schaefer. Work performed under the auspices of the National Research Council of Italy (C.N.R.). Entrata in Redazione il 5 novembre 1971. |
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