Controlled ∗-Operator Frames on Hilbert C∗-Modules

Hatim Labrigui; Abdeslam Touri; Mohamed Rossafi; Samir Kabbaj

doi:10.1155/2021/5530498

Journal of Mathematics (Jan 2021)

Controlled ∗-Operator Frames on Hilbert C∗-Modules

Hatim Labrigui,
Abdeslam Touri,
Mohamed Rossafi,
Samir Kabbaj

Affiliations

Hatim Labrigui: Department of Mathematics, Ibn Tofail University, B.P. 133, Kenitra, Morocco
Abdeslam Touri: Department of Mathematics, Ibn Tofail University, B.P. 133, Kenitra, Morocco
Mohamed Rossafi: LASMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, Morocco
Samir Kabbaj: Department of Mathematics, Ibn Tofail University, B.P. 133, Kenitra, Morocco

DOI: https://doi.org/10.1155/2021/5530498
Journal volume & issue: Vol. 2021

Abstract

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In this paper, we study the concept of controlled ∗-operator frames for the space of all adjointable operators on a Hilbert C∗-module H. Also, we discuss characterizations of controlled ∗-operator frames and we give some properties. Some illustrative examples are provided to advocate the usability of our results.

Published in Journal of Mathematics

ISSN: 2314-4629 (Print); 2314-4785 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/1469

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