Consistency Theorems for Almost Convergence
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Publication:4056532
DOI10.2307/1996745zbMath0301.46005OpenAlexW4247578735MaRDI QIDQ4056532
Grahame Bennett, Nigel J. Kalton
Publication date: 1974
Full work available at URL: https://doi.org/10.2307/1996745
Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) General theory of locally convex spaces (46A03) Functional analytic methods in summability (40H05) Summability and bases in topological vector spaces (46A35) Summability and bounded fields of methods (40D20)
Related Items (9)
The subspace of almost convergent sequences ⋮ Generalized limits and statistical convergence ⋮ Weak sequential completeness of \(\beta\)-duals ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Generalized limits and sequence of matrices ⋮ Superposition operator on the space of sequences almost converging to zero ⋮ Sequential definitions of continuity for real functions. ⋮ Geometry of Banach limits and their applications ⋮ A characterization of a class of barrelled sequence spaces
Cites Work
- Conull and coregular FK spaces
- Topics in functional analysis. Notes by W. D. Laverell
- On a theorem of Orlicz and Pettis
- FK-spaces containing \(c_0\)
- Addendum to ``\(FK\)-spaces containing \(c_0\)
- A contribution to the theory of divergent sequences
- Allgemeine Eigenschaften von Limitierungsverfahren
- Abschnittskonvergenz in \(FK\)-Räumen
- Linear functionals on two-norm spaces
- Almost Convergence and the Buck-Pollard Property
- Linear spaces with mixed topology
- A new class of sequence spaces with applications in summability theory.
- Uniform and Equicontinuous Schauder Bases of Subspaces
- Almost Summable Sequences
- Almost Convergent and Almost Summable Sequences
- Vector-Valued Measures
- A Representation Theorem for Summability Domains
- On linear methods of summability
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