It turns out that this functor is fully faithful, exact, and reflects exactness.
The essential esthetic of the garden is its exactness.
In particular, Stolz, Weidmann, and Teschl [5 9] got spectral exactness for isolated eigenvalues in essential spectral gaps.
In this section, we shall study spectral exactness in an open interval laking essential spectral points in Case 5.
It will be useful in studying spectral exactness in every gap of the essential spectrum of any self-adjoint subspace extension in Sections 4-6.
Spectral exactness in every gap of the essential spectrum of any self-adjoint subspace extension is obtained in the other three cases in Sections 4-6, separately.
In addition, enlightened by Stolz, Weidmann, and Teschl's work [5 9], we shall show the spectral exactness in an open interval laking essential spectral points in the case that at least one endpoint is in l.p.c.
In this section, we shall study spectral exactness in an open interval laking essential spectral points in Case 4. Without loss of generality, we only consider the case that (mathcal{L}) is in l.c.c. at (t=-infty) and in l.p.c. at (t=+infty).
In this section, we shall study spectral exactness in an open interval laking essential spectral points in Case 2. Without loss of generality, we only consider the case that (mathcal{L}) is regular at a and in l.p.c. at (t=+infty).
WEM is based on theorems which show the ultimate exactness of the eigenvalues and the uniform convergence of the essential functions of the problem.
In particular, a sufficient condition is given for spectral exactness of a sequence of self-adjoint subspaces in an open interval laking essential spectral points.
