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Self-adjoint operators and pairs of Hermitian forms over the quaternions

โœ Scribed by Michael Karow


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
135 KB
Volume
299
Category
Article
ISSN
0024-3795

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Joint zero sets and ranges of several He
โœ P. Binding; A. Markus ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 195 KB

Let h j : V โ†’ R, j = 1, . . . , n, be Hermitian forms on a inner product space over F = C or H, and let h : V โ†’ R n have j th component h j . We study path connectedness of the joint zero set h -1 (0) โˆฉ V 1 and convexity of the joint range h(V 1 ) for various values of n, where V 1 is the unit spher