On the geometry of stable compact convex sets

DOI10.1007/BF01391464zbMath0339.46001OpenAlexW1991021541MaRDI QIDQ1231255

Susanne Papadopoulou

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163015

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (18)

Minimal lattice-subspaces ⋮ A characterization of the weak topology in the unit ball of purely atomic \(L_1\) preduals ⋮ Closedness of the Set of Extreme Points in Orlicz Spaces ⋮ First order solutions in conic programming ⋮ Maximum-entropy inference and inverse continuity of the numerical range ⋮ Unnamed Item ⋮ Extreme operator-valued continuous maps ⋮ Signatures of quantum phase transitions from the boundary of the numerical range ⋮ Extremal structure of ⋮ Continuity of the maximum-entropy inference: Convex geometry and numerical ranges approach ⋮ Idempotent measures: absolute retracts and soft maps ⋮ Continuity of the maximum-entropy inference ⋮ Fibration of idempotent measures ⋮ The stability of the unit balls of symmetric and unitarily invariant norms ⋮ A Full Characterization of Stable Unit Balls in Orlicz Spaces ⋮ On the openness of the idempotent barycenter map ⋮ A characterization of (locally) uniformly convex spaces in terms of relative openess of quotient maps on the unit ball ⋮ Continuity of metric projections onto subspaces and openness of quotient maps on unit balls

Cites Work

• Unnamed Item
• Continuity and convexity of projections and barycentric coordinates in convex polyhedra
• Polyhedral Banach spaces and extensions of compact operators
• On the Geometry of Choquet Simplexes.
• On Continuous Convex Functions and Split Faces
• On Open Maps, Compact Convex Sets, and Operator Algebras

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