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Inequalities for the block projection operatorsOriginally studied by Gohberg and Krein, the block projection operators admit a natural extension

Besov spaces in operator theoryThe survey is devoted to diverse applications of Besov classes in operator theory

Von Neumann algebras and projections in space with conjugation operator operator and we study J-projections from von Neumann J-algebras of type (B) for the first time. © 2014

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

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

Commutation of Projections and Characterization of Traces on von Neumann Algebras. III commutation conditions for nonnegative operators and projections in terms of operator inequalities

Von Neumann algebras and projections in space with conjugation operator operator and we study J-projections from von Neumann J-algebras of type (B) for the first time. © 2014

On invertibility of some operator sums of difference of two projections are obtained. We prove that block projection operators preserve invertibility

Commutativity of projections and characterization of traces on Von Neumann algebrasWe find new necessary and sufficient conditions for the commutativity of projections in terms

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

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