English

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 C C^{\ast}- 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 C C^{\ast}- modules. Also, we develop the concept of continuous biframes in the tensor product of two Hilbert CC^{\ast}-modules over a unital CC^{\ast}-algebra A\mathcal{A} 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

R2 v1 2026-06-28T13:54:07.367Z