On the sum of generators of analytic semigroups
On the sum of generators of analytic semigroups
Summary: Let \(A\) and \(B\) be generators of analytic semigroups in a Banach space. Under some conditions on the commutator of the resolvents of \(A\) and \(B\), already considered in the literature and not implying relative boundedness, we prove that the closure of \(A+B\) (or a proper extension of it) also generates an analytic semigroup, and we characterize interpolation spaces related to it.
- University of Trieste Italy
- Polytechnic University of Milan Italy
generators of analytic semigroups, interpolation spaces, One-parameter semigroups and linear evolution equations, Abstract interpolation of topological vector spaces, relative boundedness, commutator of the resolvents
generators of analytic semigroups, interpolation spaces, One-parameter semigroups and linear evolution equations, Abstract interpolation of topological vector spaces, relative boundedness, commutator of the resolvents
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