Schauder decompositions and functional calculus |
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Authors: | Henrik Petersson |
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Institution: | aChalmers/Gothenburg University, School of Mathematical Sciences, Eklandagatan, 412 96 Gothenburg, Sweden |
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Abstract: | We establish a functional calculus, with nice properties, for one and several continuous operators on some non-normable locally convex spaces, more specifically, for operators on the space of entire functions and on other power series spaces. In particular we obtain spectral mapping theorems. The calculus rests on Schauder decompositions for the spaces under consideration, which are of independent interest. |
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Keywords: | Functional calculus Schauder decomposition |
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