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Title of Journal: Ukr Math J

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Abbravation: Ukrainian Mathematical Journal

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Springer US

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DOI

10.1007/s12598-011-0285-6

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1573-9376

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On the theory of mathcalPmathcalT symmet

Authors: S O Kuzhel’ O M Patsyuk
Publish Date: 2012/08/02
Volume: 64, Issue: 1, Pages: 35-55
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Abstract

We develop a general theory of mathcalPmathcalT symmetric operators Special attention is given to mathcalPmathcalT symmetric quasiselfadjoint extensions of symmetric operator with deficiency indices 2 2 For these extensions the possibility of their interpretation as selfadjoint operators in Krein spaces is investigated and the description of nonreal eigenvalues is presented These abstract results are applied to the Schr¨odinger operator with Coulomb potential on the real axis

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  1. Groups with the Same Prime Graph as the Simple Group D n (5)
  2. Localization of eigenvalues of polynomial matrices
  3. On the Sum of Narrow and Finite-Rank Orthogonally Additive Operators
  4. Investigation of one convective Stefan problem by the Ritz method
  5. Generalized Twisted Kloosterman Sum Over ℤ [ i ]
  6. On generalization of ⊕-cofinitely supplemented modules
  7. Characterization of $ {\mathbb{A}_{16}} $ by a noncommuting graph
  8. Construction of continuous cocycles for the bicrossed product of locally compact groups
  9. Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in L 0
  10. Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs
  11. On Γ-convergence of integral functionals defined on various weighted Sobolev spaces
  12. Normally solvable operator equations in a Banach space
  13. On the Estimation of Strong Means of Fourier Series
  14. Generalizations of ⊕ -supplemented modules
  15. Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations
  16. On the Optimal Recovery of Integrals of Set-Valued Functions
  17. 2-Simple ore domains of stable rank 1
  18. Averaging of Impulsive Differential Inclusions with Fuzzy Right-Hand Sides
  19. On some qualitative properties of monotone linear extensions of dynamical systems
  20. Homotopic types of right stabilizers and orbits of smooth functions on surfaces
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