Positive Operator Frame for Hilbert C*-modules

Authors

  • Hatim Labrigui Laboratory Partial Differential Equations, Spectral Algebra and Geometry, Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, P. O. Box 133 Kenitra, Morocco
  • Hafida Massit Laboratory Partial Differential Equations, Spectral Algebra and Geometry, Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, P. O. Box 133 Kenitra, Morocco
  • Mohamed Rossafi LaSMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, P. O. Box 1796 Fez Atlas, Morocco

DOI:

https://doi.org/10.3126/jnms.v6i1.57469

Keywords:

Frame, Positive operator, C*-algebra, Hilbert C*-modules

Abstract

The work on frame theory has undergone a remarkable evolution over the last century. Several related properties have applications on many fields of mathematics, engineering, signal and image processing, informatics, medecine and probability. In order to search for new results related to the role of operators in frame theory using the characterization of the positive elements in a C-algebra, we introduce the concept of positive operator frame, L-positive operator frame, ∗-positive operator frame and ∗-L-positive operator frame for the set of all adjointable operators on a Hilbert C-module denoted EndB(H) where L is a positive operator. Also, we give some new properties.

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Published

2023-08-22

How to Cite

Labrigui, H., Massit, H., & Rossafi, M. (2023). Positive Operator Frame for Hilbert C*-modules. Journal of Nepal Mathematical Society, 6(1), 57–69. https://doi.org/10.3126/jnms.v6i1.57469

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