| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9495925 | Journal of Functional Analysis | 2005 | 16 Pages |
Abstract
We present a systematic characterization of the domain of a generator of a one parameter group on certain Câ-subalgebras of L(H) via finite-dimensional estimates. Our approach yields an example of a densely defined closed symmetric derivation on a Câ-subalgebras of L(H) whose domain is not closed with respect to the C1-functional calculus. This completes and complements the earlier example of McIntosh (J. Funct. Anal. 30 (1977) 264). Our methods are partly based on the theory of adjoint C0-semigroups.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
W. van Ackooij, B. de Pagter, F.A. Sukochev,