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Normal modes of a waveguide as eigenvectors of a self-adjoint operator pencil to studying the spectrum of a quadratic self-adjoint operator pencil.

On the hamiltonian–krein index for a non-self-adjoint spectral problem characteristics of the 1-D Schrödinger operator HV= (Equation presented). © 2018 American Mathematical Society.

Scattering matrices and Dirichlet-to-Neumann maps self-adjoint operators in terms of an abstract operator valued Titchmarsh–Weyl m-function is proved

АПОСТЕРИОРНЫЙ ВЫБОР МОМЕНТА ОСТАНОВА В НЕЯВНОМ МЕТОДЕ ИТЕРАЦИЙ РЕШЕНИЯ НЕКОРРЕКТНЫХ ЗАДАЧ С НЕСАМОСОПРЯЖЕННЫМ ОПЕРАТОРОМ with Non Self-adjoint Operator

To the theory of operator monotone and operator convex functions monotone in the sense of the natural order on the set of positive self-adjoint operators affiliated

Inequalities for the extended positive part of a von Neumann algebra related to operator-monotone and operator-convex functions. In particular, this provides an opportunity to extend the inequalities onto unbounded positive self-adjoint

On invertibility of some operator sums, Y ∈ B(H) be self-adjoint operators, X ≥ 0 and X ≤ Y ≤ X. If Y is invertible, then X is also

McLaughlin’s Inverse Problem for the Fourth-Order Differential Operator of the coefficients nor the self-adjointness of the operator. In addition, we establish the connection between Mc

More accurate classes of jensen–type inequalities for convex and operator convex functions, in this paper we develop a general method for improving two classes of Jensen-type inequalities for bounded self-adjoint

On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov ConjectureAccording to Berezin and Faddeev, a Schrödinger operator with point interactions –Δ + is any self-adjoint

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