We find conditions on a Banach space X and on closed linear operators A and B acting in X, which ensure that A + B is closed. The result is applied to get maximal regularity in Banach valued L^p spaces for the abstract Cauchy problem u'=Au+f u(0)=0 where A is the infinitesimal generator of an analytic semigroup.
Dore, G., Venni, A. (1987). On the closedness of the sum of two closed operators. MATHEMATISCHE ZEITSCHRIFT, 196(2), 189-201 [10.1007/BF01163654].
On the closedness of the sum of two closed operators
Dore G.;Venni A.
1987
Abstract
We find conditions on a Banach space X and on closed linear operators A and B acting in X, which ensure that A + B is closed. The result is applied to get maximal regularity in Banach valued L^p spaces for the abstract Cauchy problem u'=Au+f u(0)=0 where A is the infinitesimal generator of an analytic semigroup.File in questo prodotto:
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