Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2312.17618 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910283609407488 |
|---|---|
| author | Karara, Abdelilah Mabrouk, Khadija |
| author_facet | Karara, Abdelilah Mabrouk, Khadija |
| contents | In this peaper we stady certain Bessel sequences $\left\{f_k\right\}_{k=1}^{\infty}$ in Hilbert C*- modules $\mathcal{H}$ for which operator $S$ defined by \ref{eq2} is of the form $\mathcal{T}+ξI$, for some real number $ξ$ and a adjointable linear operator $\mathcal{T}$. Additionally, we investigate frames known as compact-tight frames, which have frame operators that are compact perturbations of constant multiples of the identity. As a conclusion, we provide a theory regarding the weaving of specific compact-tight frames. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17618 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bessel sequences in Hilbert $C^{\ast}$-modules Karara, Abdelilah Mabrouk, Khadija Functional Analysis 42C15 In this peaper we stady certain Bessel sequences $\left\{f_k\right\}_{k=1}^{\infty}$ in Hilbert C*- modules $\mathcal{H}$ for which operator $S$ defined by \ref{eq2} is of the form $\mathcal{T}+ξI$, for some real number $ξ$ and a adjointable linear operator $\mathcal{T}$. Additionally, we investigate frames known as compact-tight frames, which have frame operators that are compact perturbations of constant multiples of the identity. As a conclusion, we provide a theory regarding the weaving of specific compact-tight frames. |
| title | Bessel sequences in Hilbert $C^{\ast}$-modules |
| topic | Functional Analysis 42C15 |
| url | https://arxiv.org/abs/2312.17618 |