The group reduction for bounded cosine functions on UMD spaces
Authors:
Markus Haase
Affiliation:
(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 C0-group. The proof uses a transference principle for cosine functions.