Continuous biframes in Hilbert $C^{\ast}-$modules
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910887266222080 |
|---|---|
| author | Lfounoune, Abdellatif Karara, Abdelilah Rossafi, Mohamed |
| author_facet | Lfounoune, Abdellatif Karara, Abdelilah Rossafi, Mohamed |
| contents | In this paper, we will introduce the concept of a continuous biframe for Hilbert $ 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^{\ast}- $modules. Also, we develop the concept of continuous biframes in the tensor product of two Hilbert $C^{\ast}$-modules over a unital $C^{\ast}$-algebra $\mathcal{A}$ and provide some properties of invertible transformed biframes and Bessel multipliers in the tensor product. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10846 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Continuous biframes in Hilbert $C^{\ast}-$modules Lfounoune, Abdellatif Karara, Abdelilah Rossafi, Mohamed Functional Analysis 41A58, 42C15, 46L05, 47B90 In this paper, we will introduce the concept of a continuous biframe for Hilbert $ 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^{\ast}- $modules. Also, we develop the concept of continuous biframes in the tensor product of two Hilbert $C^{\ast}$-modules over a unital $C^{\ast}$-algebra $\mathcal{A}$ and provide some properties of invertible transformed biframes and Bessel multipliers in the tensor product. |
| title | Continuous biframes in Hilbert $C^{\ast}-$modules |
| topic | Functional Analysis 41A58, 42C15, 46L05, 47B90 |
| url | https://arxiv.org/abs/2312.10846 |