The subspace of almost convergent sequences

DOI10.1134/S0037446621040054zbMath1483.40005OpenAlexW3191893589MaRDI QIDQ820460

N. E. Zubov

Publication date: 27 September 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621040054

zbMATH Keywords

space of bounded sequencesalmost convergent sequenceBanach limits

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Functional analytic methods in summability (40H05)

Cites Work

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• Fourier-Haar coefficients and Banach limits
• On the space of almost convergent sequences
• Almost convergence of sequences in Banach spaces in weak, strong, and absolute senses
• A contribution to the theory of divergent sequences
• Consistency Theorems for Almost Convergence
• Geometry of Banach limits and their applications
• Banach Limits

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