Simultaneous similarity and triangularization of sets of 2 by 2 matrices
β Scribed by Carlos A.A. Florentino
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 311 KB
- Volume
- 431
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Let F be a Held and F[x] the ring of polynomials in an indeterminate .\ over F. Let, J.l l1(F). Al l1 (F[x]) denote the algebras of n x II matrices over F. F[x]. respectively. and GL(u, F). GL{.r:, F[x]) their corresponding groups of units. Given A(x). B(x) E .~11/(F[xJ). we say that A(s). H(x) arc
When A β B(H) and B β B(K) are given, we denote by M C the operator matrix acting on the infinite- . In this paper, for given A and B, the sets CβB l (K,H) Ο l (M C ), CβInv(K,H) Ο l (M C ) and CβInv(K,H) Ο l (M C ) are determined, where Ο l (T ), B l (K, H) and Inv(K, H) denote, respectively, the