학술논문
INTEGRATED SEMIGROUPS OF UNBOUNDED LINEAR OPERATORS IN BANACH SPACES: PART I
Document Type
research-article
Author
Source
Bulletin (Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathématiques), 1998 Jan 01(23), 45-62.
Subject
Language
English
ISSN
05617332
24060909
24060909
Abstract
A family of unbounded linear operators (S(t))t≥0 in a Banach space (E, ∥ · ∥) which satisfies on a domain D ⊂ E the composition low for an integrated semigroup is introduced and investigated. Banach spaces (Eω, ∥ · ∥ω), ω > 0, are used for a construction of a family of infinitesimal generators Áω, ω > 0 which determines an operator A called the infinitesimal generator of (S(t))t≥0·