On subsets of the space of bounded sequences

DOI10.1134/S000143462101017XzbMath1480.40007OpenAlexW3180580139MaRDI QIDQ2037640

N. N. Avdeev

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462101017x

zbMATH Keywords

separating setalmost convergent sequenceBanach limitlinear spanbounded sequenceSucheston functional

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Functional analytic methods in summability (40H05)

Cites Work

• Unnamed Item
• Characteristic functions of Banach limits
• On the space of almost convergent sequences
• Almost none of the sequences of 0's and 1's are almost convergent
• A contribution to the theory of divergent sequences
• Geometric properties of the set of Banach limits
• Banach Limits

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