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Fixed point theorems for holomorphic mappings and operator theory in indefinite metric spaces |
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| Authors: | V. Khatskevich S. Reich D. Shoikhet |
| Affiliation: | (1) Department of Mathematics, University of Haifa, Mount Carmel, 31905 Haifa, Israel;(2) Department of Mathematics, The Technion-Israel Institute of Technology, 3200 Haifa, Israel;(3) Department of Applied Mathematics, International College of Technology, P.O.Box 78, 20101 Karmiel, Israel |
| Abstract: | In this paper we establish several new results on the existence and uniqueness of a fixed point for holomorphic mappings and one-parameter semigroups in Banach spaces. We also present an application to operator theory on spaces with an indefinite metric. |
| Keywords: | 46G20 47B50 47H10 |
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