Value distribution and spectral theory of Schrodinger operators with L^2-sparse potentials
We apply the methods of value distribution theory to the spectral asymptotics of Schrodinger operators with L^2-sparse potentials.
math.SP↗
arXiv subjects
D. B. Pearson
Publications and source records attributed to D. B. Pearson.
Commutativity up to a factor of bounded operators in complex Hilbert space
We explore commutativity up to a factor, $AB=λBA$, for bounded operators in a complex Hilbert space. Conditions on the possible values of the factor $λ$ are formulated and shown to depend on spectral properties of the operators involved. Commutativity up to a unitary factor is considered for pairs of self-adjoint operators. Examples of nontrivial realizations of such commutation relations are given.
math.FA↗