Titlebook: Operator Theory and Differential Equations; Anatoly G. Kusraev,Zhanna D. Totieva Conference proceedings 2021 The Editor(s) (if applicable)

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,On the Brezis–Lieb Lemma and Its Extensions,hich the Brezis–Lieb lemma holds true. This gives also a net-version of the Brezis–Lieb lemma in .. for . ∈ [1, .). We discuss an operator version of the Brezis–Lieb lemma in certain convergence vector lattices.

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Global Boundedness of Solutions of Continuous Social Stratification Model,y. We first obtain spatially homogeneous solutions of the problem. Next we employ the comparison theorems for nonlinear parabolic equations to derive sufficient conditions of global boundedness and blow up for the solutions which correspond to spatially inhomogeneous initial data. Finally we perform

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Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields,zations on Riemannian manifolds. One of the main result is the following: If . is a Lie algebra of Killing vector fields on a given Riemannian manifold (., .), and . has constant length on (., .), then the linear operator . has a pure imaginary spectrum (Nikonorov, J. Geom. Phys. 145 (2019), 103485)

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