Projections in operator ranges

Details Projections in operator ranges Projections in operator ranges

2005-09-14

arxiv.org/abs/math/0509330v1

Mathematics

Functional Analysis

Scientific paper

If $\H$ is a Hilbert space, $A$ is a positive bounded linear operator on $\cH$ and $\cS$ is a closed subspace of $\cH$, the relative position between $\cS$ and $A^{-1}(\cS \orto)$ establishes a notion of compatibility. We show that the compatibility of $(A,\cS)$ is equivalent to the existence of a convenient orthogonal projection in the operator range $R(A^{1/2})$ with its canonical Hilbertian structure.

Affiliated with

Also associated with

No associations

Rating

Projections in operator ranges 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 Projections in operator ranges, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projections in operator ranges will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407380