Geometric eigenspace of the generator of \(C_0\)-semigroup of positive operators (Q5937378)
From MaRDI portal
scientific article; zbMATH DE number 1618959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric eigenspace of the generator of \(C_0\)-semigroup of positive operators |
scientific article; zbMATH DE number 1618959 |
Statements
Geometric eigenspace of the generator of \(C_0\)-semigroup of positive operators (English)
0 references
23 May 2002
0 references
The author investigate the structure of the geometric eigenspace of the generator of an eventually compact, strongly continuous semigroup of positive operators on a Banach lattice with order continuous norm. It is shown that, is some cases, a basis of the eigenspace can be chosen to consist of elements of the Banach lattice with certain positivity structure.
0 references
geometric eigenspace
0 references
generator
0 references
eventually compact
0 references
positive operator
0 references
Banach lattice
0 references
strongly continuous semigroup
0 references
0 references