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On extended structures of a closed operator related to semigroup theory and the abstract Cauchy problem

On extended structures of a closed operator related to semigroup theory and the abstract Cauchy problem

After the fundamental treatise on the semigroup theory by Hille and Phillips, several extensions of the semigroup theory and the abstract Cauchy problem have been developed.Three of the basic developments which are related to the results in this announcement are the distributional semigroups (V.Barbu [1], J. Chazarain [4], I. Ciorânescu …