A characterization of (locally) uniformly convex spaces in terms of relative openess of quotient maps on the unit ball

DOI10.1006/jfan.2000.3638zbMath0982.46014OpenAlexW1966499592MaRDI QIDQ1589666

Jiří Reif

Publication date: 8 April 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3638

zbMATH Keywords

quotient mapsuniform convexityuniformly convexlocal convexityequally relatively openuniformly relatively open

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (1)

A note on Robinson-Ursescu and Lyusternik-Graves theorem

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