A WEAK HILBERT SPACE THAT IS A TWISTED HILBERT SPACE

DOI10.1017/S1474748018000221zbMath1447.46015OpenAlexW2803877075MaRDI QIDQ5110698

Jesús Suárez de la Fuente

Publication date: 21 May 2020

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748018000221

zbMATH Keywords

interpolationcentralizertwisted sumweak Hilbert space

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Banach sequence spaces (46B45) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Asymptotic theory of Banach spaces (46B06)

Related Items (3)

The Rochberg garden ⋮ Some more twisted Hilbert spaces ⋮ A space with no unconditional basis that satisfies the Johnson-Lindenstrauss lemma

Cites Work

• Banach spaces in various positions
• Banach spaces with a weak cotype 2 property
• Computing 2-summing norm with few vectors
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• Three-space problems in Banach space theory
• Type, cotype and twisted sums induced by complex interpolation
• Banach spaces without local unconditional structure
• Commutators and interpolation methods
• Nonlinear centralizers in homology
• Singular twisted sums generated by complex interpolation
• Trees and branches in Banach spaces
• The ergodicity of weak Hilbert spaces
• Weak Hilbert Spaces
• Twisted Sums of Sequence Spaces and the Three Space Problem
• Some more weak Hubert spaces
• Differentials of Complex Interpolation Processes for Kothe Function Spaces
• On the "Three space problem".
• On Constructing Banach Spaces with no Unconditional Basis
• TWISTED HILBERT SPACES AND UNCONDITIONAL STRUCTURE
• Some More Weak Hilbert Spaces
• Non-ergodic Banach spaces are near Hilbert
• The Maurey extension property for Banach spaces with the Gordon–Lewis property and related structures
• Intermediate spaces and interpolation, the complex method
• Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
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