Properties of bounded representations for G-frames

2020/05/09 by Ghobadzadeh, Fatemeh, Khedmati, Yavar, Moghaddam, Javad Sedghi
#41A58 #42C15 #47A05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2005.04395

Abstract

Due to the importance of frame representation by a bounded operator in dynamical sampling, researchers studied the frames of the form \T^i-1 f\_{i∈ ℕ}, which f belongs to separable Hilbert space H and T∈ B(H), and investigated the properties of T. Given that g-frames include the wide range of frames such as fusion frames, the main purpose of this paper is to study the characteristics of the operator T for g-frames of the form \ΛT^i-1 ∈ B(H,K):i∈ ℕ\.

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