IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
A note on the star order in Hilbert spaces
Autor/es:
J. ANTEZANA, C. CANO, I. MOSCONI Y D. STOJANOFF
Revista:
LINEAR AND MULTILINEAR ALGEBRA
Editorial:
TAYLOR & FRANCIS LTD
Referencias:
Lugar: Londres; Año: 2009
ISSN:
0308-1087
Resumen:
We study the star order on the algebra L(H) of bounded operators on a Hilbert space H. We present a new interpretation of this order which allows to generalize to this setting many known results for matrices: functional calculus, semi lattice properties, shorted operators and orthogonal decompositions. We also show several properties for general Hilbert spaces regarding the star order and its relationship with the functional calculus and the polar decomposition, which were unknown even in the finite dimensional setting. We also study the existence of strong limits of star-monotone sequences and nets.
