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- Title
Similarity and parameterizations of dilations of pairs of dual group frames in Hilbert spaces.
- Authors
Guo, Xun
- Abstract
In this paper, firstly, in order to establish our main techniques we give a direct proof for the existence of the dilations for pairs of dual group frames. Then we focus on proving the uniqueness of such dilations in certain sense of similarity and giving an operator parameterization of the dilations of all pairs of dual group frames for a given group frame. We show that the operators which transform different dilations are of special structured lower triangular.
- Subjects
RIESZ spaces; DILATION theory (Operator theory); PARAMETERIZATION; HILBERT space; GROUP theory
- Publication
Acta Mathematica Sinica, 2017, Vol 33, Issue 12, p1671
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-017-7078-2