INTEGRATED C-SEMIGROUPS OF UNBOUNDED LINEAR OPERATORS IN BANACH SPACES
Ratko Kravarušić, Milorad Mijatović · 2005
A family of unbounded linear operators (S(t))t‚0 in the Banach space (E;k ¢ k) which satisfles the composition law for an inte- grated Cisemigroup on a domain D ‰ E is introduced and investigated. The Banach spaces (E!;k ¢ k!); ! > 0; are used for the construction of a family of inflnitesimal generators A ! ; ! > 0 which determine an operator A called the inflnitesimal generator of (S(t))t‚0: