Operator-Valued frame generators for group-like unitary systems
Functional Analysis
2010-12-27 v2
Abstract
In this paper, we investigate operator-valued frames with the structure of group-like unitary system. We show the commutant of the group-like unitary system can be characterized in terms of analysis operators associated with all the operator-valued Bessel generators and give some sufficient and necessary conditions to describe when an operator-valued frame generator admits a Parseval dual.
Keywords
Cite
@article{arxiv.1012.4236,
title = {Operator-Valued frame generators for group-like unitary systems},
author = {Bin Meng},
journal= {arXiv preprint arXiv:1012.4236},
year = {2010}
}
Comments
There are some errors in the proof