On octahedraliy and Müntz spaces

2018/11/05 by André Martiny, Martiny, André
Mathematics · #46E15 (Primary) 46B04 46B20 (Secondary) #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1811.02011

openalex publication_date 2018/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every Müntz space can be written as a direct sum of Banach spaces X and Y , where Y is almost isometric to a subspace of c and X is finite dimensional. We apply this to show that no Müntz space is locally octahedral or almost square.

Citations

• Remarks on diameter 2 properties

Related

• Two properties of Müntz spaces
• Summands in locally almost square and locally octahedral spaces
• Banach spaces which always produce octahedral spaces of operators
• Almost square dual Banach spaces
• Almost square Banach spaces