Direct sums of trace maps and self-adjoint extensions
arXiv:1402.4967 · doi:10.1007/s40065-014-0108-3
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.
Final version. To appear in: S. Albeverio (ed.), Singular Perturbation Theory, Analysis, Geometry, and Stochastic, special issue of Arab. J. Math. (Springer)
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