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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/s11243-011-9572-1

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1573-9376

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On the Sum of Narrow and FiniteRank Orthogonally

Authors: H I Humenchuk
Publish Date: 2016/07/16
Volume: 67, Issue: 12, Pages: 1831-1837
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Abstract

It is well known that the sum of two linear continuous narrow operators in the spaces Lp with 1 p ∞ is not necessarily a narrow operator However the sum of a narrow operator and a compact linear continuous operator is a narrow operator In a recent paper Pliev and Popov originated the investigation of nonlinear narrow operators and in particular of orthogonally additive operators As our main result we prove that the sum of a narrow orthogonally additive operator and a finiterank laterallytonorm continuous orthogonally additive operator acting from an atomless Dedekind complete vector lattice into a Banach space is a narrow operator

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  2. Localization of eigenvalues of polynomial matrices
  3. Investigation of one convective Stefan problem by the Ritz method
  4. Generalized Twisted Kloosterman Sum Over ℤ [ i ]
  5. On generalization of ⊕-cofinitely supplemented modules
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  7. Construction of continuous cocycles for the bicrossed product of locally compact groups
  8. Inequality of the Turan type for trigonometric polynomials and conjugate trigonometric polynomials in L 0
  9. Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs
  10. On Γ-convergence of integral functionals defined on various weighted Sobolev spaces
  11. Normally solvable operator equations in a Banach space
  12. On the Estimation of Strong Means of Fourier Series
  13. Generalizations of ⊕ -supplemented modules
  14. Forced oscillations of an infinite-dimensional oscillator under impulsive perturbations
  15. On the Optimal Recovery of Integrals of Set-Valued Functions
  16. On the theory of $ \mathcal{P}\mathcal{T} $-symmetric operators
  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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