A general factorization approach to the extension theory of nonnegative operators and relations

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A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains (2009, unknown): “be found, for instance, in [3], [5, Sect. 109], [8], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [32], [47, Part III], [51, Sect. 3.3], [57], [65], [68, Sect. 13.2], [69], [70], [71], [72], [80], [81], [87], [101], [110], [116], [117], [118], [119], [125], [126], [127], and the refer”
Form sums of nonnegative selfadjoint operators (2006, methodology): “Moreover, in [ 16 ] it will be shown that the factorizations in this section play an important role in the representation of nonnegative extremal extensions of a nonnegative operator S, cf. [4] for the case when S is densely defined.”
Boundary relations and generalized resolvents of symmetric operators (2006, background): “where T s is a selfadjoint operator (densely deﬁned in (mulT)⊥). Let T be a linear relation in a Hilbert space H. If T is closed, then also the eigenspace Nb λ(T) is closed for every λ∈ C. Lemma 2.3. [27] Let Tbe a linear relation in H, let Hbe a restriction of Twith a nonempty resolvent set, and as”