MR3785684 Reviewed Liu, Ai Fang(PRC-NAA); Li, Peng Tong(PRC-NAA)K-fusion frames and the corresponding generators for unitary systems. (English summary) Acta Math. Sin. (Engl. Ser.) 34 (2018), no. 5, 843–854. 42C15 (47D03)

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Abstract

Given an operator K∈B(H), in this paper the authors introduce K-fusion frames as a generalization of fusion frames, defined as a sequence {Wi} of closed subspaces of the Hilbert space H. For K=1, this becomes a fusion frame. They prove some properties of K-fusion frames, based on considering the operator K and the frame operators. In the last section, for a unitary system U, the authors define a K-fusion frame generator in a way similar to the frame vectors for unitary systems. Some properties and characterization theorems are derived for operators in the generalized local commutant of U.
Lingua originaleEnglish
Numero di pagine1
Stato di pubblicazionePublished - 2018

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