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The group reduction for bounded cosine functions on UMD spaces |
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| Authors: | Markus Haase |
| Institution: | (1) Delft Institute of Applied Mathematics, Technical University Delft, PO Box 5031, 2600 GA Delft, The Netherlands |
| Abstract: | It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(−A)1/2 generates a bounded C 0-group. The proof uses a transference principle for cosine functions. |
| Keywords: | Cosine function Transference principle C 0-semigroup Group Functional calculus UMD space Fattorini’ s theorem |
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