Absolutely divergent series and classes of Banach spaces

DOI10.1017/S0305004100061132zbMath0532.46005OpenAlexW2050920026MaRDI QIDQ3314359

William H. Ruckle

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1017/s0305004100061132

zbMATH Keywords

Dvoretzky-Rogers theoremKrein-Milman Theoremlocal immersionabsolutely divergent seriesseries immersedsmallest Banach operator ideal

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• Absolutely divergent series and isomorphism of subspaces
• Factoring absolutely convergent series
• Absolutely divergent series and isomorphism of subspaces. II
• A series characterization of subspaces of 𝐿_{𝑝}(𝜇) spaces
• Absolute and Unconditional Convergence in Normed Linear Spaces