On k -deficit Banach Frames. Armenian Journal of Mathematics

Author(s)

On k -deficit Banach Frames. Armenian Journal of Mathematics Raj Kumar

kk-deficit Banach frames have been defined and studied. It has been proved that if a Banach space has a Banach frame having mbox{kk-deficit} (k≥0)(k≥0), then its second conjugate space has a retro Banach frame. Also, we prove results regarding existence of mbox{kk-deficit} Banach frames in subspaces and super spaces of a Banach space and deduce that ℓ∞ℓ∞ does not have a mbox{kk-deficit} Banach frame for any kk. Finally, we prove the equivalence of two statements regarding Banach frames.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/62 Armenian Journal of Mathematics, 2(4) 146-154

Download PDF

Keywords

Banach Frame, retro-Banach frames, deficit Banach frames.

Check for updates

Share

Contact admin with any questions, comments or concerns

[email protected]