Том 10 № 3-4

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Some remarks concerning strongly separately continuous functions on spaces ℓ_p with p ∊ [1;+∞]
(2018) Olena Karlova, Tomáš Visnyai
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;+∞).