IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Minimal Matrices and the corresponding Minimal Curves on Flag manifolds in low dimension
Autor/es:
E. ANDRUCHOW; L. E. MATA-LORENZO; A. MENDOZA; L. RECHT; ALEJANDRO VARELA
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Año: 2009 vol. 430 p. 1906 - 1906
ISSN:
0024-3795
Resumen:
In general C∗-algebras, elements with minimal norm in some equivalence class are introduced and characterize We study the set of minimal hermitian matrices, in the case where the C∗-algebra consists of 3×3 complex matric and the quotient is taken by the subalgebra of diagonal matrices. We thoroughly study the set of minimal matric particularly because of its relation to the geometric problem of finding minimal curves in flag manifolds. For t flag manifold of ‘four mutually orthogonal complex lines’ in C4, it is shown that there are infinitely many minim curves joining arbitrarily close points. In the case of the flag manifold of ‘three mutually orthogonal compl lines’ in C3, we show that the phenomenon of multiple minimal curves joining arbitrarily close points does n occur. Key words: aproximation, curves, flag manifolds, matrices, minimal.∗-algebras, elements with minimal norm in some equivalence class are introduced and characterize We study the set of minimal hermitian matrices, in the case where the C∗-algebra consists of 3×3 complex matric and the quotient is taken by the subalgebra of diagonal matrices. We thoroughly study the set of minimal matric particularly because of its relation to the geometric problem of finding minimal curves in flag manifolds. For t flag manifold of ‘four mutually orthogonal complex lines’ in C4, it is shown that there are infinitely many minim curves joining arbitrarily close points. In the case of the flag manifold of ‘three mutually orthogonal compl lines’ in C3, we show that the phenomenon of multiple minimal curves joining arbitrarily close points does n occur. Key words: aproximation, curves, flag manifolds, matrices, minimal.∗-algebra consists of 3×3 complex matric and the quotient is taken by the subalgebra of diagonal matrices. We thoroughly study the set of minimal matric particularly because of its relation to the geometric problem of finding minimal curves in flag manifolds. For t flag manifold of ‘four mutually orthogonal complex lines’ in C4, it is shown that there are infinitely many minim curves joining arbitrarily close points. In the case of the flag manifold of ‘three mutually orthogonal compl lines’ in C3, we show that the phenomenon of multiple minimal curves joining arbitrarily close points does n occur. Key words: aproximation, curves, flag manifolds, matrices, minimal.C4, it is shown that there are infinitely many minim curves joining arbitrarily close points. In the case of the flag manifold of ‘three mutually orthogonal compl lines’ in C3, we show that the phenomenon of multiple minimal curves joining arbitrarily close points does n occur. Key words: aproximation, curves, flag manifolds, matrices, minimal.C3, we show that the phenomenon of multiple minimal curves joining arbitrarily close points does n occur. Key words: aproximation, curves, flag manifolds, matrices, minimal.Key words: aproximation, curves, flag manifolds, matrices, minimal.