Characterization of duals of continuous frames in Hilbert C*-modules

2023/02/27 by Ghasemi, H., Shateri, T. L., Arefijamaal, A.
#06D22 #42C15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2302.13554

Abstract

In this paper, we investigate some characterizations of dual continuous frames and give some results about them. Also, we refer to the method of constructing a family of duals through a fixed dual and show there exists a one-to-one correspondence between duals of a continuous frame for Hilbert C^*-module U and adjointable operators K from U to L²(Ω,\mathcal A). Then we check the conditions that the sum of two duals of a given continuous frame under the influence of adjointable mappings becomes a dual of it and state some results about them.

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