On a theorem of Jörgens and Chernoff concerning essential self-adjointness of Dirac operators.
On Commuting Unbounded Self-Adjoint Operators. III.
On where has infinitely many “bumps”
On determination of eigenvalues and eigenvectors of selfadjoint operators
Two simple methods for approximate determination of eigenvalues and eigenvectors of linear self-adjoint operators are considered in the following two cases: (i) lower-upper bound of the spectrum of is an isolated point of ; (ii) (not necessarily an isolated point of with finite multiplicity) is an eigenvalue of .
On eigenfunction expansions and scattering theory.
On Essential Self-Adjointness for Singular Elliptic Differential Operators.
On essential selfadjointness of the Weyl quantized relativistic Hamiltonian.
On Jensen's inequality for self-adjoint operators in Hilbert space
On -accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
On -sectorial Schrödinger-type operators with singular potentials on manifolds of bounded geometry
We consider a Schrödinger-type differential expression , where is a -bounded Hermitian connection on a Hermitian vector bundle of bounded geometry over a manifold of bounded geometry with metric and positive -bounded measure , and is a locally integrable section of the bundle of endomorphisms of . We give a sufficient condition for -sectoriality of a realization of in . In the proof we use generalized Kato’s inequality as well as a result on the positivity of satisfying the...
On Non-Degeneracy of the Ground State of Schrödinger Operators.
On Optimal Spectral Estimator for Multi-Dimensional Time Series with an Infinite Number of Sample Points.
On the Canonical Commutation Relations.
On the Essential Spectrum of Schrödinger Operators with Spherically Symmetric Potentials.
On the Existence of Minimal Operators for Schrödinger-Type Differential Expressions.
On the Index of Callias-type Operators.
On the localization of the spectrum for quasi-selfadjoint extensions of a Carleman operator
In the present work, using a formula describing all scalar spectral functions of a Carleman operator of defect indices in the Hilbert space that we obtained in a previous paper, we derive certain results concerning the localization of the spectrum of quasi-selfadjoint extensions of the operator .
On the method of least squares of finding eigenvalues and eigenfunctions of some symmetric operators. II.
On the Normality of the Unbounded Product of Two Normal Operators
Let A and B be two -non necessarily bounded- normal operators. We give new conditions making their product normal. We also generalize a result by Deutsch et al on normal products of matrices.
On the point spectrum of self-adjoint extensions.