Biframes in Hilbert $C^{\ast}-$modules

Fuente: arXiv
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Hauptverfasser: Rossafi, Mohamed, Karara, Abdelilah, jazzar, Roumaissae El
Format: Preprint
Veröffentlicht: 2023
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author Rossafi, Mohamed
Karara, Abdelilah
jazzar, Roumaissae El
author_facet Rossafi, Mohamed
Karara, Abdelilah
jazzar, Roumaissae El
contents In this paper, we will introduce the concept of biframes for Hilbert $ C^{\ast}- $modules produced by a pair of sequences, and we present various examples of biframes. Then, we examine the characteristics of biframes from the viewpoint of operator theory by establishing some properties of biframes in Hilbert $ C^{\ast}- $modules.
format Preprint
id arxiv_https___arxiv_org_abs_2312_15351
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Biframes in Hilbert $C^{\ast}-$modules
Rossafi, Mohamed
Karara, Abdelilah
jazzar, Roumaissae El
Functional Analysis
42C15, 46C05, 47B90
In this paper, we will introduce the concept of biframes for Hilbert $ C^{\ast}- $modules produced by a pair of sequences, and we present various examples of biframes. Then, we examine the characteristics of biframes from the viewpoint of operator theory by establishing some properties of biframes in Hilbert $ C^{\ast}- $modules.
title Biframes in Hilbert $C^{\ast}-$modules
topic Functional Analysis
42C15, 46C05, 47B90
url https://arxiv.org/abs/2312.15351