A note on \(\tau \)-convergence, \(\tau \)-convergent algebra and applications

DOI10.1016/j.topol.2012.01.003zbMath1278.40003OpenAlexW2060131666MaRDI QIDQ664704

Chao You

Publication date: 2 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.01.003

zbMATH Keywords

multiplierBanach limits\(\tau \)-compactification\(\tau \)-convergence\(\tau \)-convergent algebra\(C^{*}\)-reflexivity

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Convergence and divergence of series and sequences (40A05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Functional analytic methods in summability (40H05)

Cites Work

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• Reflexivity of Hilbertian modules over the algebra of compact operators with an adjoint unit
• Hilbert \(C^*\) and \(W^*\)-modules and their morphisms
• The multipliers of the space of almost convergent sequences
• A contribution to the theory of divergent sequences
• Inner Product Modules Over B ∗ -Algebras
• \(C^*\)-algebras by example