A note on O-frames for operators

Chander Shekhar; Shiv Kumar Kaushik

doi:10.22034/aot.1702-1122

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Home > Journals > Adv. Oper. Theory > Volume 2 > Issue 3 > Article

Summer 2017 A note on O-frames for operators

Chander Shekhar, Shiv Kumar Kaushik

Adv. Oper. Theory 2(3): 383-395 (Summer 2017). DOI: 10.22034/aot.1702-1122

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Abstract

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.

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Chander Shekhar. Shiv Kumar Kaushik. "A note on O-frames for operators." Adv. Oper. Theory 2 (3) 383 - 395, Summer 2017. https://doi.org/10.22034/aot.1702-1122