2 papers
math.FA2008
A transference principle for general groups and functional calculus on UMD spaces
Markus Haase
We prove a transference principle for general (i.e., not necessarily bounded) strongly continuous groups on Banach spaces. If the Banach space has the UMD property, the transferenc…
math.FA2007
The group reduction for bounded cosine functions on UMD spaces
Markus Haase
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 cos…