The group reduction for bounded cosine functions on UMD spaces
Functional Analysis
2007-09-19 v2
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
Cite
@article{arxiv.0709.2891,
title = {The group reduction for bounded cosine functions on UMD spaces},
author = {Markus Haase},
journal= {arXiv preprint arXiv:0709.2891},
year = {2007}
}
Comments
16 pages, research article