López Alfonso, Salvador; López-Pellicer, Manuel; Mas Marí, José(Yılmaz Simsek, 2021)

[EN] Let ba(A) be the Banach space of the real (or complex) finitely additive measures of bounded variation defined on an algebra A of subsets of Omega and endowed with the variation norm. . A subset B of A is a Nikod ́ym ...

López Alfonso, Salvador; Mas Marí, José; Moll López, Santiago Emmanuel(Springer-Verlag, 2016)

[EN] A subset B of an algebra A of subsets of Omega is said to have property N if a
B-pointwise bounded subset M of ba(A ) is uniformly bounded on A , where ba(A ) is
the Banach space of the real (or complex) finitely ...

[EN] A subset B of a set-algebra A has property N if each B-pointwise bounded subset M of bounded measures of bounded variation is A -uniformly bounded. Each σ-algebra has property N and there exists algebras which ...

[EN] A subset B of an algebra A of subsets of Omega is a Nikodym set for ba(A) if each B-pointwise bounded subset M of ba(A) is uniformly bounded on A and B is a strong Nikodym set for ba(A) if each increasing covering ...