Unconditionality in spaces of smooth functions

摘要

Our main result shows that subspaces of L1([0, 1]) on which the blow-up operators act compactly are isometric to dual spaces, and their natural predual belongs to the Banach-Mazur closure of quotient spaces of c₀(mathbbN)c_0({mathbb{N}}). Related general results are shown for subspaces X of C₀ (W){mathcal{C}_{0}} (Omega) or of reflexive Köthe function spaces, which imply that when X consists of smooth functions it embeds into a Banach space with an unconditional basis.