Tusi Mathematical Research Group (TMRG)Advances in Operator Theory2538-225X2320170701A note on O-frames for operators3833954657410.22034/aot.1702-1122ENChander ShekharDepartment of Mathematics
Indraprastha College for Women
University of Delhi, Delhi. IndiaShiv Kumar KumarKaushikJournal Article20170218A 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.http://www.aot-math.org/article_46574_040397db76510ce0e6dab09d94995a7d.pdf