2023/04/24 by Rubén Medina, Medina, Rubén
Computer Science · Mathematics · #46B20 #46B80 #51F30 #54C15 #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Metric Geometry (math.MG) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.2304.12042
openalex publication_date 2023/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we find λ>1 and give an explicit construction of a separable Banach space X such that there is no λ-Lipschitz retraction from X onto any compact convex subset of X whose closed linear span is X. This is closely related to a well-known open problem raised by Godefroy and Ozawa in 2014 and represent the first known example with such a property.