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On the Geometry of Subspaces in Euclidean n -Spaces

✍ Scribed by Ben-Israel, Adi

Book ID
118193950
Publisher
Society for Industrial and Applied Mathematics
Year
1967
Tongue
English
Weight
973 KB
Volume
15
Category
Article
ISSN
0036-1399

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πŸ“œ SIMILAR VOLUMES

Invariant subspaces of two Hermitian str
Invariant subspaces of two Hermitian structures on a Euclidean space
✍ P. Coulton; H. Gauchman πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 59 KB

Let ( , , J 1 ) and ( , , J 2 ) denote two Hermitian structures on a 2n-dimensional Euclidean space (V , , ). If n is even and J 1 ,J 2 have opposite orientations, then there exist non-zero vectors v, w ∈ V such that J 1 (v) = J 2 (v) and J 1 (w) = -J 2 (w). If n is odd and J 1 , J 2 have the same o