2012/04/10 by Jean-Matthieu Augé, Augé, Jean-Matthieu · 1 citation
Mathematics · #47A16 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47A05 #Secondary 47A15 #advanced mathematical theories #math.FA #msc:47A05 #msc:47A15 #msc:47A16
paper · pdf · doi:10.48550/arxiv.1204.2044
14 pages
arxiv created 2012/04/10 · openalex publication_date 2012/04/10 · arxiv updated 2012/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
If X is a separable infinite dimensional Banach space, we construct a bounded and linear operator R on X such that AR=\x ∈ X, ‖Rtx‖ → ∞\ is not dense and has non empty interior with the additional property that R can be written I+K, where I is the identity and K is a compact operator. This answers two recent questions of Hájek and Smith.