A characterization of real and complex Hilbert spaces among all normed spaces

DOI10.1017/S0004972700025855zbMath0542.46011MaRDI QIDQ3329950

Joso Vukman

Publication date: 1983

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Kakutani-Mackey characterization of Hilbert spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inner product spaces and their generalizations, Hilbert spaces (46C99) General theory of topological algebras with involution (46K05)

Cites Work

• Two characterizations of real Hilbert space
• Ring and lattice characterizations of complex Hilbert space

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