Segal Algebras with Functorial Properties.
Selbstadjungierte Differentialoperatoren erster Ordnung in A2 (Co).
Selbstadjungierte Differentialoperatoren und nukleare (F)-Räume in A2 (C0).
Selbstadjungierte Operatoren als ?dual" rein atomare Skalaroperatoren.
Selected papers from the 10th international conference 2009 on nonlinear functional analysis and applications, Seoul, Korea, July 27--31, 2009.
Selection theorem in L¹
Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.
Self-adjoint boundary-value problems on time-scales.
Self-adjoint differential vector-operators and matrix Hilbert spaces I
In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.
Selfadjoint Extension Operators Commuting with an Algebra.
Self-adjoint extensions by additive perturbations
Let be the symmetric operator given by the restriction of to , where is a self-adjoint operator on the Hilbert space and is a linear dense set which is closed with respect to the graph norm on , the operator domain of . We show that any self-adjoint extension of such that can be additively decomposed by the sum , where both the operators and take values in the strong dual of . The operator is the closed extension of to the whole whereas is explicitly written in terms...
Selfadjoint Means and Operator Monotone Functions.
Selfadjoint operator matrices with finite rows
A generalization of the Carleman criterion for selfadjointness of Jacobi matrices to the case of symmetric matrices with finite rows is established. In particular, a new proof of the Carleman criterion is found. An extension of Jørgensen's criterion for selfadjointness of symmetric operators with "almost invariant" subspaces is obtained. Some applications to hyponormal weighted shifts are given.
Self-Adjointness for Strongly Singular Potentials with a - |x|2 Fall-Off at Infinity.
Self-Adjointness of Powers of Elliptic Operators on Non-Compact Manifolds.
Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
Self-dual subnormal operators
Semi-Browder operators and perturbations
An operator in a Banach space is called upper (resp. lower) semi-Browder if it is upper (lower) semi-Fredholm and has a finite ascent (resp. descent). An operator in a Banach space is called semi-Browder if it is upper semi-Browder or lower semi-Browder. We prove the stability of the semi-Browder operators under commuting Riesz operator perturbations. As a corollary we get some results of Grabiner [6], Kaashoek and Lay [8], Lay [11], Rakočević [15] and Schechter [16].
Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators
In this note, I wish to describe the first order semiclassical approximation to the spectrum of one frequency quasi-periodic operators. In the case of a sampling function with two critical points, the spectrum exhibits two gaps in the leading order approximation. Furthermore, I will give an example of a two frequency quasi-periodic operator, which has no gaps in the leading order of the semiclassical approximation.
Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case
We consider a version of the Weyl formula describing the asymptotic behaviour of the counting function of eigenvalues in the semiclassical approximation for self-adjoint elliptic differential operators under weak regularity hypotheses. Our aim is to treat Hölder continuous coefficients and to investigate the case of critical energy values as well.
Semiclassical limit of the spectral decomposition of a Schrödinger operator in one dimension.