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We shall use known geometric characterization of the essential spectrum [HS96, Theorem 10.6 p.102] to prove the invariance of σess(Hµ), when µ has compact support..
Recently [14] we have proven the HVZ theorem (which dates back to Hunziker [10], van Winter [26] and Zhislin [28] for the Schr¨ odinger opera- tor and to Lewis, Siedentop and
[5], the number of solutions of (4)–(9) coincides with the number of eigenvalues of the u 7→ − u ′′ operator (with boundary conditions (9)) which fall between β and h
We can decide whether there are eigenvalues with positive real part by computing the image of a half circle centred at the origin and lying in the right half plane under the
As regards cyclical compactness, we observe the conjecture of [15] that if a dominated operator T between spaces with mixed norm is cyclically compact and T S with S compact then T
We introduce weak compact-friendliness as an extension of compact-friendliness, and and prove that if a non-zero weakly compact-friendly operator B : E → E on a Banach lattice
The model consists in relaxing the distributional assumptions of asset returns to a situation where the underlying random processes modeling the spot prices of assets are
In this work, conditions are found on the coefficients of the electromagnetic Schr¨odinger operator in divergence form that provide the coincidence of the domain of definition of the
