A strict topology on Orlicz spaces
Let φ be a Young function, Ω be a locally compact space, and μ be a positive Radon measure on Ω. We consider a strict topology βφ (in the sense of Sentilles‐Taylor) on the Orlicz function space Mφ(Ω) and investigate various properties of this locally convex topology. We also study the Orlicz space M...
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| Veröffentlicht in: | Mathematische Nachrichten 2015-04, Vol.288 (5-6), p.498-508 |
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| creator | Akbarbaglu, I. Maghsoudi, S. Seoane-Sepúlveda, J. B. |
| description | Let φ be a Young function, Ω be a locally compact space, and μ be a positive Radon measure on Ω. We consider a strict topology βφ (in the sense of Sentilles‐Taylor) on the Orlicz function space Mφ(Ω) and investigate various properties of this locally convex topology. We also study the Orlicz space Mφ(G) of a locally compact group G with a left Haar measure under the strict topology βφ and certain other natural locally convex topologies. Finally we present some results on various continuity properties of convolution operators on Mφ(G) under the βφ topology and other natural ones. |
| doi_str_mv | 10.1002/mana.201400100 |
| format | Article |
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| ispartof | Mathematische Nachrichten, 2015-04, Vol.288 (5-6), p.498-508 |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | 43A15 43A15 Secondary: 46A03 46A70 46H05 convolution locally compact group Orlicz space Primary: 46E30 Secondary: 46A03 strict topology Young function |
| title | A strict topology on Orlicz spaces |
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