Barrelled subspaces of spaces with subseries decompositions or Boolean rings of projections

DOI10.1017/S0017089500030548zbMath0849.46003OpenAlexW2098707723MaRDI QIDQ4291601

Miguel Florencio, Pedro J. Paúl, Drewnowski, Lech

Publication date: 7 November 1996

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500030548

zbMATH Keywords

barrelled AK-spacelocally convex spaces with Schauder (or Markushevich) decompositions

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) Summability and bases in topological vector spaces (46A35)

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Cites Work

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• Some inclusion theorems for sequence spaces
• The Vitali-Hahn-Saks Theorem for Boolean Algebras with the Subsequential Interpolation Property
• Series That Converge on Sets of Null Density
• Nonweakly Compact Operators from Order-Cauchy Complete C(S) Lattices, with Application to Baire Classes
• A new class of sequence spaces with applications in summability theory.
• Inclusion Theorems forK-Spaces
• The Measure Theoretic Approach to Density