Integrated semigroups of unbounded linear operators and $C_0$ semigroups on subspaces

Authors

  • Ratko Kravarušić Faculty of Economics, Banja Luka, Republic Serbian Author
  • Milorad Mijatović Institute of Mathematics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Yugoslavia Author
  • Stevan Pilipović Institute of Mathematics, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Yugoslavia Author

Keywords:

$C_{0}$-semigroups, integrated semigroups, infinitesimal generator, perturbed operator

Subjects:

47D06, 47D40

Abstract

We give conditions under which an infinitesimal generator of an integrated semigroups of unbounded linear operator becomes an infinitesimal generator of a perturbated semigroup of bounded linear operators. Also, we analyze when a linear operator in a Banach space is an infinitesimal generator of an integrated semigroups of unbounded linear operators.

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Published

2002-10-15

Issue

Vol. 54 No. 3–4 (2002): Vol. 54, Issue 3–4

Section

Articles

License

Copyright (c) 2002 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.