Cross-frames in Banach spaces

2011/10/31 by Kreys, Sergey
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1110.6746

Abstract

This paper generalizes results for alternate dual frames in Hilbert spaces on the situation of a Banach space. Additionally some properties of synthesys operator associated with alternate dual frame are investigated. The main result is that for a given cross-frame in Banach space we can not find such strongly continuous uniformely bounded one-parameter group of operators that the vectors from this cross-frame are eigenvectors of group's operators.

Related

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