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arxiv: 0709.2891 · v2 · submitted 2007-09-18 · 🧮 math.FA

The group reduction for bounded cosine functions on UMD spaces

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keywords boundedcosinefunctionsgeneratesgroupfunctionoperatorprinciple
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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.

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