✦ LIBER ✦
Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars
✍ Scribed by P. Binding; A. Markus
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 195 KB
- Volume
- 385
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
Let h j : V → R, j = 1, . . . , n, be Hermitian forms on a inner product space over F = C or H, and let h : V → R n have j th component h j . We study path connectedness of the joint zero set h -1 (0) ∩ V 1 and convexity of the joint range h(V 1 ) for various values of n, where V 1 is the unit sphere of V .