Some characterizations of finite-dimensional Hilbert spaces

DOI10.1006/jmaa.1998.5978zbMath0909.46024OpenAlexW2036450140MaRDI QIDQ1269612

Miguel Ángel Navarro

Publication date: 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.5978

zbMATH Keywords

extreme point of the unit ballfinite-dimensional spaces with transitive norms

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Characterizations of Hilbert spaces (46C15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (3)

Extreme contractions on finite-dimensional polygonal Banach spaces ⋮ Banach spaces whose algebras of operators have a large group of unitary elements ⋮ Characterization of extreme contractions through k-smoothness of operators

Cites Work

• Extreme contractions on real Hilbert spaces
• Extreme Points of Convex Sets in Infinite Dimensional Spaces
• Extreme operators on 2-dimensional $l_p$-spaces
• Sur une propriété caractéristique de l'ellipsoїde

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