The Characterization and Stability of g-Riesz Frames for Super Hilbert Space

G-frames and g-riesz frames as generalized frames in hilbert spaces have been studied by many authors in recent years. the super hilbert space has a certain advantage compared with the hilbert space in the field of studying quantum mechanics. in this paper,for super hilbert space hk,the definitions of a g-riesz frame and minimal g-complete are put forward; also a characterization of g-riesz frames is obtained. in particular,we generalize them to general super hilbert space l1 l2 ln. finally,a conclusion of the stability of a g-riesz frame for the super hilbert space is given. © 2015 dingli hua and yongdong huang.