A module frame concept for Hilbert C*-modules

Details A module frame concept for Hilbert C*-modules A module frame concept for Hilbert C*-modules

2000-11-22

arxiv.org/abs/math/0011184v1

Contemp. Math. 247 (2000), 207-233

Mathematics

Operator Algebras

Latex2e, amsproc.cls required, 21 pages, presented at: Functional and Harmonic Analysis of Wavelets (Joint Math. Meeting, San

Scientific paper

The goal of the present paper is a short introduction to a general module frame theory in C*-algebras and Hilbert C*-modules. The reported investigations rely on the idea of geometric dilation to standard Hilbert C*-modules over unital C*-algebras that possess orthonormal bases, and of reconstruction of the frames by projections and other bounded module operators with suitable ranges. We obtain frame representation and decomposition theorems, as well as similarity and equivalence results. The relative position of two and more frames in terms of being complementary or disjoint is investigated in detail. In the last section some recent results by P. G. Casazza are generalized to our setting. The Hilbert space situation appears as a special case. For detailled proofs we refer to another paper also contained in the ArXiv.

Affiliated with

Also associated with

No associations

Rating

A module frame concept for Hilbert C*-modules 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 A module frame concept for Hilbert C*-modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A module frame concept for Hilbert C*-modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-729576