A note on O-frames for operators

Document Type: Original Article


Department of Mathematics Indraprastha College for Women University of Delhi, Delhi. India


A sufficient condition for a boundedly complete O-frame and a necessary condition for an unconditional O-frame are given. Also, a necessary and sufficient condition for an absolute O-frame is obtained. Finally, it is proved that if two operators have an absolute O-frame, then their product also has an absolute O-frame.