This work studies the spectral properties of certain unbounded selfadjoint operators by considering positive perturbations of such operators and the unitary equivalence of the perturbed and unperturbed transformations. Conditions are obtained on the unitary operators implementing this equivalence which guarantee that the selfadjoint operators have an absolutely continuous part
AbstractThe classical Weyl–von Neumann theorem states that for any self-adjoint operator A0 in a sep...
AbstractWe discuss the following problem: How can the spectrum σ(A) of a linear operator A be change...
The Spectral Theorem is one of the most famous theorems in Functional Analysis, particularly bec...
This work studies the spectral properties of certain unbounded selfadjoint operators by considering ...
One of the proofs of the spectral theorem for bounded operators begins by proving that a bounded, po...
AbstractConsider a unitary operator U0 acting on a complex separable Hilbert space H. In this paper ...
© 2014, Pleiades Publishing, Ltd. We introduce and study spectral order on unbounded operators. Main...
In this work we present a derivation of the spectral theorem of unbounded spectral operators in a Hi...
AbstractNatural conditions are imposed on spectra of products and sums of operators. This results in...
This dissertation details the development of several analytic tools that are used to apply the techn...
tn this note we are concerned with unbounded self-adjoint operators in a Hilbert space. Denoting suc...
The classical Weyl-von~Neumann theorem states that for any self-adjoint operator $A$ in a separable ...
The classical Weyl-von Neumann theorem states that for any self-adjoint operator $A$ in a separable ...
Natural conditions are imposed on spectra of products and sums of operators. This results in charact...
AbstractAn improvement of a perturbation theory lemma by M. M. Skriganov which gives an upper bound ...
AbstractThe classical Weyl–von Neumann theorem states that for any self-adjoint operator A0 in a sep...
AbstractWe discuss the following problem: How can the spectrum σ(A) of a linear operator A be change...
The Spectral Theorem is one of the most famous theorems in Functional Analysis, particularly bec...
This work studies the spectral properties of certain unbounded selfadjoint operators by considering ...
One of the proofs of the spectral theorem for bounded operators begins by proving that a bounded, po...
AbstractConsider a unitary operator U0 acting on a complex separable Hilbert space H. In this paper ...
© 2014, Pleiades Publishing, Ltd. We introduce and study spectral order on unbounded operators. Main...
In this work we present a derivation of the spectral theorem of unbounded spectral operators in a Hi...
AbstractNatural conditions are imposed on spectra of products and sums of operators. This results in...
This dissertation details the development of several analytic tools that are used to apply the techn...
tn this note we are concerned with unbounded self-adjoint operators in a Hilbert space. Denoting suc...
The classical Weyl-von~Neumann theorem states that for any self-adjoint operator $A$ in a separable ...
The classical Weyl-von Neumann theorem states that for any self-adjoint operator $A$ in a separable ...
Natural conditions are imposed on spectra of products and sums of operators. This results in charact...
AbstractAn improvement of a perturbation theory lemma by M. M. Skriganov which gives an upper bound ...
AbstractThe classical Weyl–von Neumann theorem states that for any self-adjoint operator A0 in a sep...
AbstractWe discuss the following problem: How can the spectrum σ(A) of a linear operator A be change...
The Spectral Theorem is one of the most famous theorems in Functional Analysis, particularly bec...