Direct sums of trace maps and self-adjoint extensions
Mathematical Physics
2014-07-04 v2 Functional Analysis
math.MP
Abstract
We give a simple criterion so that a countable infinite direct sum of trace (evaluation) maps is a trace map. An application to the theory of self-adjoint extensions of direct sums of symmetric operators is provided; this gives an alternative approach to results recently obtained by Malamud-Neidhardt and Kostenko-Malamud using regularized direct sums of boundary triplets.
Keywords
Cite
@article{arxiv.1402.4967,
title = {Direct sums of trace maps and self-adjoint extensions},
author = {Andrea Posilicano},
journal= {arXiv preprint arXiv:1402.4967},
year = {2014}
}
Comments
Final version. To appear in: S. Albeverio (ed.), Singular Perturbation Theory, Analysis, Geometry, and Stochastic, special issue of Arab. J. Math. (Springer)