Linearization of operator functions on arbitrary open sets |
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Authors: | Bert den Boer |
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Institution: | (1) Wiskundig Seminarium, Vrije Universiteit, De Boelelaan 1081, Amsterdam, Holand |
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Abstract: | In this paper it is shown that after a suitable extension an operator function A, which is holomorphic on an open set in , is equivalent on to a linear pencil S-V. If is bounded, then V turns out to be right invertible, and in that case a further extension is equivalent on to a linear pencil T-I. |
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Keywords: | |
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