Spaces of \(S\)-bounded multiplier convergent series
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Publication:5932678
DOI10.1023/A:1006781218759zbMath0970.46006OpenAlexW1698084329MaRDI QIDQ5932678
J. Pérez-Fernández, Antonio Aizpuru
Publication date: 12 June 2001
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1006781218759
compactness\({\mathcal M}\)-Grothendieck space\({\mathcal S}\)-bounded multiplier convergent seriesunconditionally convergent seriesweakly unconditional Cauchy series
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45) Compactness in Banach (or normed) spaces (46B50)
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Matrix summability and uniform convergence of series ⋮ Boolean algebras and uniform convergence of series ⋮ Banach limits and uniform almost summability ⋮ Vector-valued almost convergence and classical properties in normed spaces ⋮ Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series ⋮ A Riemann type theorem for series of operators on Banach spaces ⋮ Vector-valued spaces of multiplier statistically convergent series and uniform convergence ⋮ Spaces of \(\lambda\)-multiplier convergent series ⋮ Nonlinear full invariant of compact Banach-space maps
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