Introduction of retro Banach frame with respect to b-linear functional in n-Banach space

TL;DR

This paper introduces the concept of retro Banach frames with b-linear functionals in n-Banach spaces, exploring their properties, perturbations, and conditions for finite sums to form new frames.

Contribution

It presents the novel notion of retro Banach frames in n-Banach spaces and studies their properties, perturbations, and sum conditions.

Findings

Properties of retro Banach frames in n-Banach spaces

Perturbation results for these frames

Conditions for finite sums of frames to be frames

Abstract

The notion of retro Banach frame with the help of b-linear functional in n-Banach spaces is being presented. Some properties related to the construction of new retro Banach frame in n-Banach space have been studied. In n-Banach spaces, some perturbation results of retro Banach frame have been discussed. Finally, we give a condition in which finite sum of retro Banach frames is a retro Banach frame in n-Banach space.