On the sublinear functional associated to a family of invariant means

DOI10.1007/BF01168616zbMath0598.47031OpenAlexW1967721298MaRDI QIDQ1079795

B. George

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155130

zbMATH Keywords

semigroup of operatorsinvariant meansalmost convergent sequencessaturated setexplicit analytic expressionsfundamental sublinear functionalgeneralized limits of Banachsaturated set of means

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• Unnamed Item
• Amenable semigroups
• On Banach's generalized limits
• Invariant means and invariant matrix methods of summability
• Banach limits, infinite matrices and sublinear functionals
• Infinite matrices and almost convergence
• A contribution to the theory of divergent sequences
• The Set of all Generalized Limits of Bounded Sequences
• Banach and Other Limits
• Almost Summable Sequences
• Abstract Ergodic Theorems and Weak Almost Periodic Functions
• Banach-Hausdorff Limits
• Generalizations of Banach-Hausdorff Limits

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