On a vector-product in the separable, infinite-dimensional real Hilbert space

DOI10.1007/BF01224557zbMath0624.58005MaRDI QIDQ578672

Rudolf Z. Domiaty

Publication date: 1986

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

composition algebracross productstrict cross product

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Inner product spaces and their generalizations, Hilbert spaces (46C99) Topology of infinite-dimensional manifolds (57N20)

Cites Work

• Unnamed Item
• A 3-fold vector product in \(R^ 8\)
• Stetige Lösungen linearer Gleichungssysteme
• Cross Products of Vectors in Higher Dimensional Euclidean Spaces
• The Scarcity of Cross Products on Euclidean Spaces
• On the nonexistence of elements of Hopf invariant one

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