56 citations · 66 across the 13 of their papers we have counts for
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On the discrete spectrum of non-selfadjoint operators
Michael Demuth, Marcel Hansmann, Guy Katriel
We prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtained from selfadjoint operators by a perturbation that is relatively-Schatten. These boun…
On the distribution of eigenvalues of non-selfadjoint operators
Michael Demuth, Marcel Hansmann, Guy Katriel
We prove quantitative bounds on the eigenvalues of non-selfadjoint bounded and unbounded operators. We use the perturbation determinant to reduce the problem to one of studying the…
On finiteness of the sum of negative eigenvalues of Schroedinger operators
Michael Demuth, Guy Katriel
We prove conditions on potentials which imply that the sum of the negative eigenvalues of the Schroeodinger operator is finite. We use a method for bounding eigenvalues based on es…
Eigenvalue inequalities in terms of Schatten norm bounds on differences of semigroups, and application to Schroedinger operators
M. Demuth, G. Katriel
We develop a new method for obtaining bounds on the negative eigenvalues of self-adjoint operators B in terms of a Schatten norm of the difference of the semigroups generated by A…