Invariant subspaces of two Hermitian structures on a Euclidean space

✍ Scribed by P. Coulton; H. Gauchman

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 59 KB
• Volume: 301
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00206-2

✦ Synopsis

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 orientation (resp.