INVESTIGADORES
ANTEZANA Jorge Abel
artículos
Título:
Thompson-type formulae
Autor/es:
JORGE ANTEZANA; GABRIEL LAROTONDA; ALEJANDRO VARELA
Revista:
JOURNAL OF FUNCTIONAL ANALYSIS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2012 vol. 262 p. 1515 - 1528
ISSN:
0022-1236
Resumen:
Let X and Y be two nxn Hermitian matrices. In the article Proof of a conjectured exponential formula - Linear and Multilinear Algebra (19) 1986, 187-197,  R. C. Thompson proved that there exist two nxn unitary matrices U and V such that e^(iX)e^(i Y)=e^( i (UXU*+VBV*) ) In this note we consider extensions of this result to compact operators as well as to operators in an embeddable II_1 factor.