On some extensions of the A-model

2019/09/16 by Jursenas, Rytis
#35P05 #47A56 #47B25 #47B50 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1909.07078

Abstract

The A-model for finite rank singular perturbations of class \mathfrakH_-m-2\smallsetminus\mathfrakH_-m-1, m∈ℕ, is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces (\mathfrakH_n)_n∈ℤ admit an orthogonal decomposition \mathfrakH^-_n⊕\mathfrakH⁺_n, with the corresponding projections satisfying P^±_n+1⊆ P^±_n, nontrivial extensions in the A-model are constructed for the symmetric restrictions in the subspaces.

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