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Trotter-Kato theorems for an \(\alpha\)-times integrated semigroups. (English) Zbl 0977.47033

The authors prove an approximation theorem for \(\alpha\)-times integrated semigroups. More general results have been obtained by Ti-Juan Xiao and Jin Liang [J. Funct. Anal. 172, No. 1, 202-220 (2000; Zbl 0977.47034)].

MSC:

47D62 Integrated semigroups

Citations:

Zbl 0977.47034