On extreme operators on finite-dimensional Banach spaces whose unit balls are polytopes

DOI10.1007/BF02384471zbMath0464.46006OpenAlexW2094329820MaRDI QIDQ1154078

Åsvald Lima

Publication date: 1981

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384471

zbMATH Keywords

intersection propertyCL-spacemaximal proper faceset of extreme operators

Mathematics Subject Classification ID

Projective and injective objects in functional analysis (46M10) Spaces of linear operators; topological tensor products; approximation properties (46A32) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (8)

On CL-spaces and almost CL-spaces ⋮ Extreme contractions on finite-dimensional polygonal Banach spaces ⋮ On subspaces of \(\ell_\infty\) and extreme contractions in \(\mathbb{L}(\mathbb{X}, \ell_{\infty}^n)\) ⋮ Geometry of sub-algebras of \(\mathcal{H}\mathrm{ol}(\Gamma \cup \mathrm{Int}(\Gamma))\) and zeros of holomorphic functions ⋮ Extreme contractions on finite-dimensional Banach spaces ⋮ Numerical index and Daugavet property of operator ideals and tensor products ⋮ Centers of symmetry in finite intersections of balls in Banach spaces ⋮ Characterization of extreme contractions through k-smoothness of operators

Cites Work

• Unnamed Item
• Intersection properties of balls in spaces of compact operators
• On extreme operators in finite-dimensional spaces
• Intersections of translates of convex bodies
• Intersection Properties of Balls and Subspaces in Banach Spaces
• On a conjecture of Lindenstrauss and Perles in at most 6 dimensions
• Extension of compact operators

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