On the openness of the barycentre map

DOI10.1007/BF01360953zbMath0321.46004OpenAlexW2102077641MaRDI QIDQ1223581

Richard C. O'Brien

Publication date: 1976

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

Full work available at URL: https://eudml.org/doc/162886

Mathematics Subject Classification ID

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

Related Items

A characterization of the weak topology in the unit ball of purely atomic \(L_1\) preduals ⋮ Unnamed Item ⋮ Idempotent measures: absolute retracts and soft maps ⋮ Fibration of idempotent measures ⋮ The stability of the unit balls of symmetric and unitarily invariant norms ⋮ On the openness of continuous averagings ⋮ 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

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• On Continuous Convex Functions and Split Faces
• On Open Maps, Compact Convex Sets, and Operator Algebras