The numerical range of a pair of projections
β Scribed by Andrew Lenard
- Book ID
- 107794675
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 657 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A = (A,, A,) be a pair of Hermitian operators in @" and A = A, + iA,. We investigate certain differential properties of the numerical range map nA: r H )) with the aim of better understanding the nature of the numerical range W(A) of A. For example, the joint eigenvalues of A correspond to the s
Let A be a JBW\*-triple. A linear subspace J of A is called an inner ideal in A provided that the subspace in A is a weak\*-closed inner ideal. A linear projection on A is said to be structural if, for all elements a, b and c in A, [P a b Pc]=P[a Pb c]. The range of a structural projection is a co
A recent result is that the quatemionic numerical range of a matrix with quatemion entries has a convex intersection with the upper half complex plane. This intersection is now shown to be generally not achievable as the upper half plane part of the complex numerical range of any complex matrix. A k