Matrix summability and uniform convergence of series
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Publication:5308125
DOI10.1090/S0002-9939-07-08882-XzbMath1128.46008OpenAlexW2039436619MaRDI QIDQ5308125
C. Pérez-Eslava, Francisco Javier García-Pacheco, Antonio Aizpuru
Publication date: 27 September 2007
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08882-x
uniform convergenceunconditionally convergent seriesmatrix summabilityregular matricesweakly unconditionally Cauchy series
Matrix methods for summability (40C05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)
Related Items (4)
Banach limits and uniform almost summability ⋮ Vector-valued almost convergence and classical properties in normed spaces ⋮ On \(\ell_\infty \)-Grothendieck subspaces ⋮ Vector-valued spaces of multiplier statistically convergent series and uniform convergence
Cites Work
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- A non-reflexive Grothendieck space that does not contain \(l_{\infty }\)
- Matrix summability methods and weakly unconditionally Cauchy series
- The Schur lemma for bounded multiplier convergent series
- Unconditionally convergent series of operators on Banach spaces
- Boolean algebras and uniform convergence of series
- On bases and unconditional convergence of series in Banach spaces
- Spaces of \(S\)-bounded multiplier convergent series
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