Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
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Some remarks concerning strongly separately continuous functions on spaces ℓ_p with p ∊ [1;+∞]

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Olena Karlova
Tomáš Visnyai
http://orcid.org/0000-0002-8285-7133

Abstract

We give a sufficient condition on strongly separately continuous
function f to be continuous on space ℓ_p for p ∊ 2 [1;+∞]. We prove the

existence 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 strongly
separately continuous real-valued function for p ∊ [1;+∞).

Keywords:
strongly separately continuous function, Baire classification

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How to Cite
Karlova, O., & Visnyai, T. (2018). Some remarks concerning strongly separately continuous functions on spaces ℓ_p with p ∊ [1;+∞]. Proceedings of the International Geometry Center, 10(3-4). https://doi.org/10.15673/tmgc.v10i3-4.769
Section
Papers

References

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