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Absolutely continuous linear operators on Köthe-Bochner spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Feledziak, Krzysztof |
| Copyright Year | 2011 |
| Abstract | Let E be a Banach function space over a nite and atomless measure space (Ω,Σ, μ) and let (X, ‖ · ‖X) and (Y, ‖ · ‖Y ) be real Banach spaces. A linear operator T acting from the Köthe-Bochner space E(X) to Y is said to be absolutely continuous if ‖T (1Anf)‖Y → 0 whenever μ(An)→ 0, (An) ⊂ Σ. In this paper we examine absolutely continuous operators from E(X) to Y . Moreover, we establish relationships between di erent classes of linear operators from E(X) to Y . |
| Starting Page | 85 |
| Ending Page | 89 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.4064/bc92-0-6 |
| Volume Number | 92 |
| Alternate Webpage(s) | https://www.impan.pl/shop/publication/transaction/download/product/86668 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
