How large is the space of almost convergent sequences?

نویسندگان

چکیده

We consider the subspaces c, cˆ, S of ℓ∞, where cˆ consists almost convergent sequences, and sequences whose arithmetic means consecutive terms are convergent. know that c⊂cˆ⊂S. examine largeness c in ℓ∞ or differences these sets. will do from viewpoints porosity, algebrability measure.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2023.127258