Decompositions and characterizations of finite-meromorphic operator functions |
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| Affiliation: | 1. Department of Mathematics, University of Maryland, College Park, Md 20742, USA;2. Abteilung Mathematik, Universität Dortmund, Postfach 500500, 4600 Dortmund 50, Fed. Rep. of Germany |
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| Abstract: | A certain broad class of finite-meromorphic operator functions is characterized by the existence of local representations as the product or sum of two operator functions with special properties. Similar global decompositions are also obtained. The class studied includes, for example, all finite-meromorphic operator functions whose values are semi-Fredholm operators. |
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