info:eu-repo/semantics/article
Thompson-type formulae
Fecha
2012-02Registro en:
Antezana, Jorge Abel; Larotonda, Gabriel Andrés; Varela, Alejandro; Thompson-type formulae; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 262; 4; 2-2012; 1515-1528
0022-1236
CONICET Digital
CONICET
Autor
Antezana, Jorge Abel
Larotonda, Gabriel Andrés
Varela, Alejandro
Resumen
Let X and Y be two n×n Hermitian matrices. In the article Proof of a conjectured exponential formula (Linear Multilinear Algebra 19 (1986) 187-197) R.C. Thompson proved that there exist two n×n unitary matrices U and V such thateiXeiY=eiUXU*+VYV*. In this note we consider extensions of this result to compact operators as well as to operators in an embeddable II 1 factor.