Multipliers of pg-Bessel sequences in Banach spaces

TL;DR

This paper introduces (p,q)g-Bessel multipliers in Banach spaces, investigates their invertibility under certain conditions, and studies how these multipliers depend continuously on their parameters.

Contribution

It defines (p,q)g-Bessel multipliers in Banach spaces and analyzes their invertibility and parameter dependence, advancing the theoretical understanding of these operators.

Findings

(p,q)g-Bessel multipliers can be invertible under specific conditions.

These multipliers depend continuously on their parameters.

The paper extends the theory of Bessel multipliers to Banach spaces.

Abstract

In this paper, we introduce (p,q)g-Bessel multipliers in Banach spaces and we show that under some conditions a (p,q)g-Bessel multiplier is invertible. Also, we show the continuous dependency of (p,q)g-Bessel multipliers on their parameters.