DOI: 10.15673/tmgc.v10i3-4.769 (eng)
Автори:
- Olena Karlova
- Tomáš Visnyai
Аннотація | Повний текст: 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;+∞).
Ключові слова:
- strongly separately continuous function
- Baire classification