The group reduction for bounded cosine functions on UMD spaces

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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.
16 pages, research article

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Functional Analysis, 47A60; 47D06

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http://salesiana.dossiersoluciones.com/handle/123456789/138261

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2891
 http://arxiv.org/abs/0709.2891

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arXiv