On series of functions with the Baire property
نویسندگان
چکیده
منابع مشابه
Weak difference property of functions with the Baire property
We prove that the class of functions with the Baire property has the weak difference property in category sense. That is, every function for which f(x+h)−f(x) has the Baire property for every h ∈ R can be written in the form f = g+H+φ where g has the Baire property, H is additive, and for every h ∈ R we have φ(x+h)−φ(x) 6= 0 only on a meager set. We also discuss the weak difference property of ...
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ژورنال
عنوان ژورنال: European Journal of Mathematics
سال: 2018
ISSN: 2199-675X,2199-6768
DOI: 10.1007/s40879-018-0267-4