We study 0-1-sequences and establish the connection between the values of the upper and lower Sucheston functional on such sequence and the set of all possible divisors of the elements in the sequence support. If the union of the sets of all simple divisors of the elements in a 0-1-sequence support is finite then the sequence is almost convergent to zero. We study the 0-1-sequences whose support consists exactly of the multiples of the elements in a given set, and establish some necessary and sufficient conditions for the upper Sucheston functional to be equal to 1 on such sequence. We prove that there are infinitely many sequences at which the lower Sucheston functional is 1, and the lower Sucheston functional never vanishes at any of such sequences.

我们研究 0-1 序列，并建立该序列上、下 Sucheston 泛函的值与序列支持中元素的所有可能除数集之间的联系。如果 0-1 序列支持中元素的所有简单除数的集合的并集是有限的，则该序列几乎收敛到零。我们研究了其支持度恰好由给定集合中元素的倍数组成的0-1序列，并建立了该序列上Sucheston泛函等于1的一些充要条件。我们证明，存在无限多个下苏切斯顿泛函为 1 的序列，并且下苏切斯顿泛函在任何此类序列上都不会消失。