Operator-Valued frame generators for group-like unitary systems

Details Operator-Valued frame generators for group-like unitary systems Operator-Valued frame generators for group-like unitary systems

2010-12-20

arxiv.org/abs/1012.4236v2

Mathematics

Functional Analysis

There are some errors in the proof

Scientific paper

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.

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