A duality theory for unbounded Hermitian operators in Hilbert space

Details A duality theory for unbounded Hermitian operators in Hilbert space A duality theory for unbounded Hermitian operators in Hilbert space

2009-04-10

arxiv.org/abs/0904.1699v1

Physics

Mathematical Physics

33 pages

Scientific paper

We develop a duality theory for unbounded Hermitian operators with dense domain in Hilbert space. As is known, the obstruction for a Hermitian operator to be selfadjoint or to have selfadjoint extensions is measured by a pair of deficiency indices, and associated deficiency spaces; but in practical problems, the direct computation of these indices can be difficult. Instead, in this paper we identify additional structures that throw light on the problem. While duality considerations are a tested tool in mathematics, we will attack the problem of computing deficiency spaces for a single Hermitian operator with dense domain in a Hilbert space which occurs in a duality relation with a second Hermitian operator, often in the same Hilbert space.

Affiliated with

Also associated with

No associations

Rating

A duality theory for unbounded Hermitian operators in Hilbert space 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 duality theory for unbounded Hermitian operators in Hilbert space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A duality theory for unbounded Hermitian operators in Hilbert space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674067