IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Minus order and range additivity
Autor/es:
MARKO S. DJIKIC; GUILLERMINA FONGI; ALEJANDRA MAESTRIPIERI
Reunión:
Seminario; Seminario de AnĂ¡lisis Funcional "Mischa Cotlar"; 2016
Resumen:
We study the minus order on the algebra of linear bounded operators on an infinite dimensional Hilbert space. We show that the intrinsic nature of the minus order is algebraic, by giving a characterization of the minus order in terms of the range additivity property. Applications to generalized inverses of the sum of two operators, solutions to systems of operator equations and to optimization problems are obtained from this new characterization of the minus order.