Disjointness preserving C0-semigroups and local operators on ordered Banach spaces
| Autor: | Feng Zhang, Anke Kalauch, Onno van Gaans |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
021103 operations research Semigroup General Mathematics 010102 general mathematics 0211 other engineering and technologies Banach space 02 engineering and technology Mathematical proof 01 natural sciences symbols.namesake Taylor series symbols Embedding 0101 mathematics Local operator Generator (mathematics) Mathematics |
| Zdroj: | Indagationes Mathematicae. 29:535-547 |
| ISSN: | 0019-3577 |
| Popis: | We generalize results concerning C 0 -semigroups on Banach lattices to a setting of ordered Banach spaces. We prove that the generator of a disjointness preserving C 0 -semigroup is local. Some basic properties of local operators are also given. We investigate cases where local operators generate local C 0 -semigroups, by using Taylor series or Yosida approximations. As norms we consider regular norms and show that bands are closed with respect to such norms. Our proofs rely on the theory of embedding pre-Riesz spaces in vector lattices and on corresponding extensions of regular norms. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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