A Note on Certain Classes of Retro Banach Frames

Abstract

A new class of retro Banach frames called retro bi-Banach frame has been introduced and studied with illustrative examples. Relationships of a retro bi-Banach frame with various existing classes of Banach frame are presented. In the sequel, we deal with characterizations of the near-exact retro Banach frame and discuss the invariance of near-exact retro Banach frames under block perturbation. Finally, applications regarding the rank of a matrix and eigenvalue problems have been demonstrated.

Keywords

• banach frame
• retro banach frame
• near-exact retro banach frame
• retro bi-banach frame