On vector-valued Banach limits

DOI10.1007/s10688-013-0038-4zbMath1326.40005OpenAlexW2017020234MaRDI QIDQ482579

F. J. Pérez-Fernández, R. Armario, Francisco Javier García-Pacheco

Publication date: 5 January 2015

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-013-0038-4

zbMATH Keywords

almost convergenceBanach limitsvector-valued sequences

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Functional analytic methods in summability (40H05) Summability in abstract structures (40J05)

Related Items (6)

Extremal properties of the set of vector-valued Banach limits ⋮ Geometry of Banach limits and their applications ⋮ Vector valued Banach limits and generalizations applied to the inhomogeneous Cauchy equation ⋮ Banach Space-valued Extensions of Linear Operators on L∞ ⋮ General methods of convergence and summability ⋮ The main classes of invariant Banach limits

Cites Work

• Unnamed Item
• Invariant Banach limits and applications
• Banach limits and uniform almost summability
• A contribution to the theory of divergent sequences
• Additions to the periodic decomposition theorem

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