EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 88(102), pp. 67–76 (2010)

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NOTES ON ANALYTIC CONVOLUTED $C$-SEMIGROUPS

Marko Kostic

Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

Abstract: We establish some new structural properties of exponentially bounded, analytic convoluted $C$-semigroups and state a version of Kato's analyticity criterion for such a class of operator semigroups. Our characterizations completely cover the case of analytic fractionally integrated $C$-semigroups.

Classification (MSC2000): 47D06; 47D09, 47D60, 47D62, 47D99

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Electronic fulltext finalized on: 19 Nov 2010. This page was last modified: 6 Dec 2010.

© 2010 Mathematical Institute of the Serbian Academy of Science and Arts
© 2010 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition