Results 11 to 20 of about 103,519 (218)
On operators of transition in Krein spaces [PDF]
Opuscula Mathematica, 2011 The paper is devoted to investigation of operators of transition and the corresponding decompositions of Krein spaces. The obtained results are applied to the study of relationship between solutions of operator Riccati equations and properties of the ...
A. Grod, S. Kuzhel, V. Sudilovskaya
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Finite rank perturbations and solutions to the operator Riccati equation [PDF]
, 2015 We consider an off-diagonal self-adjoint finite rank perturbation of a self-adjoint operator in a complex separable Hilbert space $\mathfrak{H}_0 \oplus \mathfrak{H}_1$, where $\mathfrak{H}_1$ is finite dimensional.
Großmann, Julian P.
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EXTENSION OF TENSOR PRODUCT FOR OPERATORS ON THE DIRAC OPERATOR EXAMPLE [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2014 The paper deals with extension method for the operator which is a sum of tensor products. Boundary triplets approach is used. One of the operators is considered to be densely defined and symmetric with equal deficiency indices, the other one is ...
A. A. Boitsev, H. Neidhardt, I. Y. Popov
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On spectral stability for rank one singular perturbations [PDF]
Opuscula MathematicaWe study the embedded point spectrum of rank one singular perturbations of an arbitrary self-adjoint operator \(A\) on a Hilbert space \(\mathcal{H}\). These perturbations can be regarded as self-adjoint extensions of a densely defined closed symmetric ...
Mario Alberto Ruiz Caballero +1 more
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The Fermionic Signature Operator and Quantum States in Rindler Space-Time [PDF]
, 2016 The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac equation.
Finster, Felix +2 more
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Results in Applied Mathematics, 2020 The interior elastic transmission eigenvalue problem, arising from the inverse scattering theory of non-homogeneous elastic media, is nonlinear, non-self-adjoint and of fourth order.
Xia Ji, Peijun Li, Jiguang Sun
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Models of Self-Adjoint and Unitary Operators in Pontryagin Spaces
Современная математика: Фундаментальные направления, 2022 This paper represents a revised version of the lectures, delivered by the author at KROMSH-2019. These lectures are devoted to describing a few different ways of constructing a model representation for self-adjoint and unitary operators acting in ...
V. A. Strauss
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On Some bounded Operators and their characterizations in Г-Hilbert Space
Cumhuriyet Science Journal, 2020 Some bounded operators are part of this paper.Through this paper we shall obtain common properties of Some bounded operators in Г-Hilbert space. Also, introduced 2-self-adjoint operators and it’s spectrum in Г-Hilbert Space.
Sahın Injamamul Islam
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The non-self-adjointness of the radial momentum operator in n dimensions
, 2002 The non self-adjointness of the radial momentum operator has been noted before by several authors, but the various proofs are incorrect. We give a rigorous proof that the $n$-dimensional radial momentum operator is not self- adjoint and has no self ...
Albeverio S +11 more
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Variational characterizations for eigenfunctions of analytic self-adjoint operator functions [PDF]
Opuscula Mathematica, 2013 In this paper we consider Rellich's diagonalization theorem for analytic self-adjoint operator functions and investigate variational principles for their eigenfunctions and interlacing statements.
Georgios Katsouleas, John Maroulas
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