Open Access
October 2016 Wandering subspaces and fusion frame generators for unitary systems
Aifang Liu, Pengtong Li
Banach J. Math. Anal. 10(4): 848-863 (October 2016). DOI: 10.1215/17358787-3649722


This work is inspired by the study of wandering vectors and frame vectors for unitary systems. We investigate the structure and properties of complete wandering subspaces for unitary systems, and, in particular, we consider the unitary systems with a structure similar to wavelet systems. Given a unitary system with a complete wandering subspace, a necessary and sufficient condition for a closed subspace to be a Parseval fusion frame generator is obtained. Moreover, we study the dilation property for Parseval fusion frame generators for unitary groups.


Download Citation

Aifang Liu. Pengtong Li. "Wandering subspaces and fusion frame generators for unitary systems." Banach J. Math. Anal. 10 (4) 848 - 863, October 2016.


Received: 20 October 2015; Accepted: 31 January 2016; Published: October 2016
First available in Project Euclid: 7 October 2016

zbMATH: 1354.42052
MathSciNet: MR3555753
Digital Object Identifier: 10.1215/17358787-3649722

Primary: 42C15
Secondary: ‎42C40 , 47D03

Keywords: dilation , fusion frame generator , local commutant , ‎‎unitary system , wandering subspace

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.10 • No. 4 • October 2016
Back to Top