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К теории Бирмана–Крейна–ВишикаLet A ≥ mA > 0 be a closed positive definite symmetric operator in a
Inequalities for the block projection operatorsOriginally studied by Gohberg and Krein, the block projection operators admit a natural extension
DIFFERENTIAL-DIFFERENCE OPERATORS WITH DEGENERATION SATISFYING THE KATO SQUARE ROOT CONJECTUREWe consider a nonnegative differential-difference operator with degeneration. It is proved
Commutation of Projections and Characterization of Traces on von Neumann Algebras. III commutation conditions for nonnegative operators and projections in terms of operator inequalities
SOME CLASSES OF OPERATORS IN GENERAL MORREY-TYPE SPACES, such as the embedding and symmetrization operators, Hardy-Littlewood maximal operators, generalized Riesz potentials
Weighted inequalities for Hardy-type operators on the cone of decreasing functions in an Orlicz space enables passing to modular inequalities for modified operators on the cone of all nonnegative functions
Application of the Model of Quantum Measurments of Valence Electrons of Alcali Metals to Modelling of Quantum Communication Channels mechanics with non-negative probability distribution function (QDF) and for calculations of energy levels
On the index of elliptic operators associated with a diffeomorphism of a manifoldThe index of elliptic operators associated with a diffeomorphism of a manifold is calculated
Modular and norm inequalities for operators on the cone of decreasing functions in Orlicz spaceModular and norm inequalities are considered for positively homogeneous operators on the cone
EXISTENCE OF OPTIMAL DOMAINS IN PROBLEMS WITH B-SYMMETRICAL B-POSITIVE OPERATORSEXISTENCE OF OPTIMAL DOMAINS IN PROBLEMS WITH B-SYMMETRICAL B-POSITIVE OPERATORS
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