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Estimates of Hardy-Rellich constants for polyharmonic operators and their generalizations constants in the Hardy and Rellich type inequalities for polyharmonic operator of order m in domains in a
Two classes of tau-measurable operators affiliated with a von Neumann algebraWe introduce two classes of tau-measurable operators affiliated with a von Neumann algebra.
Block projection operators in normed solid spaces of measurable operators. In the semifinite case we show that a block projection operator is a linear positive contraction on a wide class
An index formula for nonlocal operators corresponding to a diffeomorphism of a manifold and the index of operators corresponding to a linear shift on the torus are calculated. Topological invariants
Linearity of Maps on Banach and Operator Algebras algebra $$A$$ and a linear space $$X$$. Let us take its amplification $$\psi=\varphi^{(2)}$$ to two by two
On coincidence points for vector mappingsFor mappings acting in the product of metric spaces we propose a concept of vector covering
Interpolation of positive operatorsWe study problems of interpolation of positive linear operators in couples of ordered Banach spaces
On supremum operators operator, in which the constant C is minimal among all possible constants. The results shows that for a
Inner uniqueness theorem for second order linear elliptic equation with constant coefficients© 2015, Allerton Press, Inc. We consider solution f to a linear elliptic differential equation
Accretivity of the General Second Order Linear Differential OperatorFor the general second order linear differential operatorL0=∑j,k=1najk∂j∂k+∑j=1nbj∂j+c with complex
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