| Autor: |
Issam Aboutaib, Janusz Brzdęk, Lahbib Oubbi |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Mathematics, Vol 12, Iss 1, p 88 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2227-7390 |
| DOI: |
10.3390/math12010088 |
| Popis: |
Let E be a Hausdorff locally convex space. We investigate the space Λφ[E] of weakly Köthe–Orlicz summable sequences in E with respect to an Orlicz function φ and a perfect sequence space Λ. We endow Λφ[E] with a Hausdorff locally convex topology and determine the continuous dual of the so-obtained space in terms of strongly Köthe–Orlicz summable sequences from the dual space E′ of E. Next, we give necessary and sufficient conditions for Λφ[E] to be barrelled or quasi-barrelled. This contributes to the understanding of different spaces of vector-valued sequences and their topological properties. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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