- Tytuł:
- Strong continuity of semigroup homomorphisms
- Autorzy:
-
Basit, Bolis
Pryde, A. - Powiązania:
- https://bibliotekanauki.pl/articles/1217352.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
representation
semigroup homomorphism
weak continuity
strong continuity
Lipschitz map - Opis:
- Let J be an abelian topological semigroup and C a subset of a Banach space X. Let L(X) be the space of bounded linear operators on X and Lip(C) the space of Lipschitz functions ⨍: C → C. We exhibit a large class of semigroups J for which every weakly continuous semigroup homomorphism T: J → L(X) is necessarily strongly continuous. Similar results are obtained for weakly continuous homomorphisms T: J → Lip(C) and for strongly measurable homomorphisms T: J → L(X).
- Źródło:
-
Studia Mathematica; 1999, 132, 1; 71-78
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł