On Schauder frames in conjugate Banach spaces

SK Kaushik, SK Sharma, KT Poumai - Journal of Mathematics, 2013 - Wiley Online Library
SK Kaushik, SK Sharma, KT Poumai
Journal of Mathematics, 2013Wiley Online Library
Weak*‐Schauder frame in conjugate Banach spaces has been introduced and studied. A
sufficient condition for the existence of weak*‐Schauder frame in the conjugate space of a
separable Banach space has been given. It has been shown that ℓ∞ has weak*‐Schauder
frame. Finally, a sufficient condition for the existence of a Schauder frame sequence has
been given.
Weak*‐Schauder frame in conjugate Banach spaces has been introduced and studied. A sufficient condition for the existence of weak*‐Schauder frame in the conjugate space of a separable Banach space has been given. It has been shown that has weak*‐Schauder frame. Finally, a sufficient condition for the existence of a Schauder frame sequence has been given.
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