This paper has two main goals. First, we are concerned with a description of all self-adjoint
extensions of the Laplacian-Δ| _ C_0^ ∞ (Ω) in L 2 (Ω; dnx). Here, the domain Ω belongs to …

arXiv:0803.3179v2 [math.AP] 15 May 2008 Page 1 arXiv:0803.3179v2 [math.AP] 15 May 2008
GENERALIZED ROBIN BOUNDARY CONDITIONS, ROBIN-TO-DIRICHLET MAPS, AND …

Given the symmetric operator $ A_N $ obtained by restricting the self-adjoint operator $ A $
to $ N $, a linear dense set, closed with respect to the graph norm, we determine a …

We are going to consider the M. Kreĭn classical papers on the theory of semi-bounded
operators and the theory of contractive self-adjoint extensions of Hermitian contractions, and …

Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded
Lipschitz Domains Page 1 Operator Theory: Advances and Applications, Vol. 191, 81–113 c© …

In this paper we show that for the domain intersection dom T∩ dom T⁎ of a closed linear
operator and its Hilbert space adjoint everything is possible for very common classes of …

Let AN be the symmetric operator given by the restriction of A to N, where A is a self-adjoint
operator on the Hilbert space H and N is a linear dense set which is closed with respect to …

Singular finite rank perturbations of an unbounded self-adjoint operator A 0 in a Hilbert
space ℌ 0 are defined formally as A (α)= A 0+ G α G*, where G is an injective linear mapping …

We give a criterion of asymptotic completeness and provide a representation of the
scattering matrix for the scattering couple (A 0, A), where A 0 and A are semi-bounded self …

The negative eigenvalues problem for the generalized Laplace operator− Δ=− Δ++ αT, α< 0,
where T is a positive operator singular in L2 and acting from the Sobolev space W12 to its …