1996/10/07 by Peter G. Casazza, Casazza, Peter G., N. J. Kalton +2
Mathematics · #46B07 #46B15 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46B07 #msc:46B15
paper · pdf · doi:10.48550/arxiv.math/9610210
arxiv created 1996/10/07 · openalex publication_date 1996/10/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a general result on complemented unconditional basic sequences in Banach lattices and apply it to give some new examples of spaces with unique unconditional basis. We show that Tsirelson space and certain Nakano spaces have the unique unconditional bases. We also construct an example of a space with a unique unconditional basis with a complemented subspace failing to have a unique unconditional basis.