On the relation between several notions of unconditional structure

DOI10.1007/BF02762873zbMath0488.46012MaRDI QIDQ1166061

Gideon Schechtman, Joram Lindenstrauss, William B. Johnson

Publication date: 1980

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

complemented subspaceunconditional basisthree-space propertyunconditional decompositionGordon and Lewis local unconditional structure

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

A Symplectic Banach Space with no Lagrangian Subspaces, Obituary: Nigel John Kalton, 1946-2010, A reflexivity criterion, The Rochberg garden, The dual J* of the James space has cotype 2 and the Gordon-Lewis property, On Constructing Banach Spaces with no Unconditional Basis, The GL-l.u.st. constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions, Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators, Unconditional decompositions in subspaces of \(l_{2}(X)\), Banach spaces without local unconditional structure, Unconditional bases and unconditional finite-dimensional decompositions in Banach spaces, Symmetry and inverse closedness for Banach \(^*\)-algebras associated to discrete groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Absolutely summing operators and local unconditional structures
• On Banach lattices and spaces having local unconditional structure, with applications to Lorentz function spaces
• Twisted Sums of Sequence Spaces and the Three Space Problem
• On the "Three space problem".