On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces

Details On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces

2011-12-13

arxiv.org/abs/1112.3001v1

Mathematics

Spectral Theory

Scientific paper

We prove an analogue to the Cayley identity for an arbitrary self-adjoint operator in a Hilbert space. We also provide two new ways to characterize vectors belonging to the singular spectral subspace in terms of the analytic properties of the resolvent of the operator, computed on these vectors. The latter are analogous to those used routinely in the scattering theory for the absolutely continuous subspace.

Affiliated with

Also associated with

No associations

Rating

On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces 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 On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Cayley Identity for Self-Adjoint Operators in Hilbert Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-490145