Cross-frames in Banach spaces

Details Cross-frames in Banach spaces Cross-frames in Banach spaces

2011-10-31

arxiv.org/abs/1110.6746v1

Mathematics

Functional Analysis

Scientific paper

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.

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