G-frame representation and Invertibility of g-Bessel Multipliers

Details G-frame representation and Invertibility of g-Bessel Multipliers G-frame representation and Invertibility of g-Bessel Multipliers

2011-06-10

arxiv.org/abs/1106.2139v1

Mathematics

Functional Analysis

Scientific paper

In this paper we show that every g-frame for an \linebreak infinite dimensional Hilbert space $\mathcal{H}$ can be written as a sum of three g-orthonormal bases for $\mathcal{H}$. Also, we prove that every g-frame can be represented as a linear combination of two g-orthonormal bases if and only if it is a g-Riesz basis. Further, we show each g-Bessel multiplier is a Bessel multiplier and investigate the inversion of g-frame multipliers. Finally, we introduce the concept of controlled g-frames and weighted g-frames and show that the sequence induced by each controlled g-frame (resp. weighted g-frame) is a controlled frame (resp. weighted frame).

Affiliated with

Also associated with

No associations

Rating

G-frame representation and Invertibility of g-Bessel Multipliers 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 G-frame representation and Invertibility of g-Bessel Multipliers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and G-frame representation and Invertibility of g-Bessel Multipliers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-320935