Integrated semigroups of unbounded linear operators

Appropriate assumptions on a family of unbounded linear operators in a Banach spaceEensure that this family forms integrated semigroups on a suitable net of subspaces ofE. The structure of such family analized. Infinitesimal generator related to this family is analyzed. Hille-Yosida type theorems ar...

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Veröffentlicht in:Filomat 2001-01, Vol.15, p.197-210
Hauptverfasser: Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan
Format: Artikel
Sprache:eng
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Zusammenfassung:Appropriate assumptions on a family of unbounded linear operators in a Banach spaceEensure that this family forms integrated semigroups on a suitable net of subspaces ofE. The structure of such family analized. Infinitesimal generator related to this family is analyzed. Hille-Yosida type theorems are give for an operator determining an integrated semigroup of unbounded linear operators.
ISSN:0354-5180
2406-0933