On Banach Spaces of Large Density Character and Unconditional Sequences
Eugene Tokarev
Abstract
It is shown that any Banach space X of sufficiently large density contains an (infinite) unconditional sequence and a separable quotient. If a density of X is a weakly compact cardinal, then X contains an unconditional sequence of cardinality that is equal to the density of X
Create a lesson
Related papers
A counterexample concerning the coefficient formula for de Branges-Rovnyak norms
Thomas Ransford
Dimensional transition and spectral instability in lattice Hardy inequalities
Carlos Lizama
Splines and Operators: Part II - Resolution of Inverse Problems
Michael Unser
Splines and Operators: Part I - Admissibility and Native Spaces
Michael Unser
An unbounded convex set with the fixed point property for nonexpansive mappings
M. Japón, Javier Laguna-Ricart
Decomposition of functions of bounded variation in Ahlfors-regular PI spaces
Paolo Bonicatto, Panu Lahti, Enrico Pasqualetto