Some remarks concerning strongly separately continuous functions on spaces ℓ_p with p ∊ [1;+∞]
| dc.contributor.author | Olena Karlova, Tomáš Visnyai | |
| dc.date.accessioned | 2018-12-19T13:12:29Z | |
| dc.date.available | 2018-12-19T13:12:29Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We give a sufficient condition on strongly separately continuousfunction f to be continuous on space ℓ_p for p ∊ 2 [1;+∞]. We prove theexistence of an ssc function f : ℓ_∞ → R which is not Baire measurable.We show that any open set in ℓ_p is the set of discontinuities of a stronglyseparately continuous real-valued function for p ∊ [1;+∞). | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/6235 | |
| dc.identifier.uri | https://doi.org/10.15673/tmgc.v10i3-4.769 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | Some remarks concerning strongly separately continuous functions on spaces ℓ_p with p ∊ [1;+∞] |