On the duality of c-fusion frames in Hilbert spaces

2016/08/07 by Asghar Rahimi, Rahimi, Asghar, Zahra Darvishi +3
Mathematics · #41A65 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Primary 42C40 #Secondary 46C99

paper · pdf · doi:10.48550/arxiv.1608.02182

openalex publication_date 2016/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Improving and extending the concept of dual for frames, fusion frames and continuous frames, the notion of dual for continuous fusion frames in Hilbert spaces will be studied. It will be shown that generally the dual of c-fusion frames may not be defined. To overcome this problem, the new concept namely Q-dual for c-fusion frames will be defined and some of its properties will be investigated.

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