Functional models of non-selfadjoint operators, strongly continuous semigroups, and matrix Muckenhoupt weights

摘要

We consider unbounded continuously invertible operators A, A(0) on a Hilbert space H such that the operator A(-1) - A(0)(-1) has finite rank. Assuming that sigma(A(0)) = phi and the semigroup V(+)(t):= exp{iA(0)t