关于空间_p上具有p =[1;+∞]的强分离连续函数的若干注释

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2018-06-10 DOI:10.15673/TMGC.V10I3-4.769

O. Karlova, T. Visnyai

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引用次数: 1

摘要

给出了对于p≠2[1;+∞]强分离连续函数f在空间上连续的充分条件。证明了非贝尔可测的ssc函数f: l_∞→R的存在性。我们证明了在_p上的任意开集是一个强分离连续实值函数的不连续集。

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Some remarks concerning strongly separately continuous functions on spaces ℓ_p with p ∊ [1;+∞]

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;+∞).

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks