The group reduction for bounded cosine functions on UMD spaces

Details The group reduction for bounded cosine functions on UMD spaces The group reduction for bounded cosine functions on UMD spaces

2007-09-18

arxiv.org/abs/0709.2891v2

Mathematics

Functional Analysis

16 pages, research article

Scientific paper

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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