Perturbation and stability of operator frame for End_A^∗(H)

2018/07/01 by Rossafi, Mohamed, Akhlidj, Abdellatif
#42C15 #46L05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1807.03836

Abstract

Frame theory is recently an active research area in mathematics, computer science, and engineering with many exciting applications in a variety of different fields. In this paper, we firstly give a characterization of operator frame for End_A^∗(H) and K-operator frames for End_A^∗(H). Lastly we consider the stability of operator frame for End_A^∗(H) and K-operator frames for End_A^∗(H) under perturbation and we establish some results.

Related

• Controlled ∗-operator Frames for End_A^∗(H)
• Controlled K-operator frame for End_A^∗ (H)
• Controlled ∗-K-operator frame for End_A^∗ (H)
• The duals of ∗-operator frames for End_A^∗(H)
• Some generalizations of frames in Hilbert modules