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系统科学与数学 1999
THE ADJOINT SEMIGROUPS OF EXPONENTIALLY BOUNDED C-SEMIGROUPS
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Abstract:
Let S(t) be an exponentially bounded C-semigroup on a Banach space X andlet S*(t) be its adjoint semigroup on the dual space X*. This paper gives a closed subspaceX of X* such that the restriction S (t) of S*(t) to X is a C*|x -semigroup on X andgives the generator of S (t). The subspace X is maximal in a certain sense.