On ideal bounded sequences

Year 2024, Volume: 73 Issue: 3, 705 - 711, 27.09.2024

Leila Miller-van Wieren

https://doi.org/10.31801/cfsuasmas.1474890

Abstract

In this paper, we study the notion of ideal bounded sequences, related to a given ideal, generalizing an earlier concept known as statistical boundedness of a sequence. We proceed to prove some results connecting ideal boundedness of a sequence to that of its subsequences. For this purpose, we use Lebesgue measure and Baire category to measure size.

Keywords

Ideal, ideal boundedness, subsequence

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