On Similarity to Contraction Semigroups in Hilbert Space
- 39 Downloads
-semigroup in Hilbert space, then T(t) is similar to a contraction semigroup. Analogously, if T is a power-bounded quasi-compact operator, then T is similar to a contraction. This latter fact is a simultaneous generalization of well known results of Sz.-Nagy and Rota. Some characterizations of bounded quasi-compact semigroups and power-bounded quasi-compact operators are also given.
KeywordsHilbert Space Contraction Semigroup Simultaneous Generalization
Unable to display preview. Download preview PDF.