On Constructing Banach Spaces with no Unconditional Basis

DOI10.2307/2160173zbMath0881.46018OpenAlexW4242804824MaRDI QIDQ4281743

Ryszard A. Komorowski

Publication date: 19 February 1998

Full work available at URL: https://doi.org/10.2307/2160173

zbMATH Keywords

interpolationconstructionKalton-Peck spaceBanach spaces with no unconditional basisweak Hilbert space with no unconditional basis

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (3)

A WEAK HILBERT SPACE THAT IS A TWISTED HILBERT SPACE ⋮ Banach spaces without local unconditional structure ⋮ Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces

Cites Work

• On the relation between several notions of unconditional structure
• Banach lattices with property \(( H )\) and weak Hilbert spaces
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Twisted Sums of Sequence Spaces and the Three Space Problem
• The Proportional Uap Characterizes Weak Hilbert Spaces
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