Continuous biframes in Hilbert $C^{\ast}-$modules
Functional Analysis
2025-03-24 v2
Abstract
In this paper, we will introduce the concept of a continuous biframe for Hilbert modules. Then, we examine some characterizations of this biframe with the help of an invertible and adjointable operator is given. Moreover, we study continuous biframe Bessel multiplier and dual continuous biframe in Hilbert modules. Also, we develop the concept of continuous biframes in the tensor product of two Hilbert -modules over a unital -algebra and provide some properties of invertible transformed biframes and Bessel multipliers in the tensor product.
Keywords
Cite
@article{arxiv.2312.10846,
title = {Continuous biframes in Hilbert $C^{\ast}-$modules},
author = {Abdellatif Lfounoune and Abdelilah Karara and Mohamed Rossafi},
journal= {arXiv preprint arXiv:2312.10846},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2309.07247 by other authors