Reducing the classical multipliers ℓ∞, C0 and bv0

DOI10.1017/S0013091500023786zbMath0912.46002OpenAlexW2068759853MaRDI QIDQ4348556

Stephen A. Saxon, William H. Ruckle

Publication date: 26 May 1999

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500023786

zbMATH Keywords

closed graph theoremBennett/Kalton reductionmultiplier of FK spacesnon-barrelled dense \(\beta_0\) subspacessectional convergence theorems

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Barrelled spaces, bornological spaces (46A08) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Cites Work

• Unnamed Item
• Generalized sectional convergence and multipliers
• Non-barrelled dense \(\beta \varphi\) subspaces
• Lattices of sequence spaces
• Addendum to ``\(FK\)-spaces containing \(c_0\)