Positive Operator Valued Measures: A General Setting for Frames

Details Positive Operator Valued Measures: A General Setting for Frames Positive Operator Valued Measures: A General Setting for Frames

2011-11-06

arxiv.org/abs/1111.1450v1

Mathematics

Functional Analysis

17 pages; Prepeared for Proceedings of the February Fourier Talks

Scientific paper

This paper presents an overview of close parallels that exist between the theory of positive operator-valued measures (POVMs) associated with a separable Hilbert space and the theory of frames on that space, including its most important generalizations. The concept of a framed POVM is introduced, and classical frames, fusion frames, generalized frames, and other variants of frames are all shown to to arise as framed POVMs. This observation allows drawing on a rich existing theory of POVMs to provide new perspectives in the study of frames.

Affiliated with

Also associated with

No associations

Rating

Positive Operator Valued Measures: A General Setting for Frames does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Positive Operator Valued Measures: A General Setting for Frames, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Positive Operator Valued Measures: A General Setting for Frames will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689150