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Interpolation of positive operatorsWe study problems of interpolation of positive linear operators in couples of ordered Banach spaces

Sherman’s Operator Inequality space and positive linear mappings between C* -algebras. We introduce the so called Sherman’s operator

An extension of the Krein-Smulian and Lozanovskii theorems to metrizable spaces with a cone theorem of Lozanovskii about the automatic continuity of linear positive operators are generalized

Interpolation of positive operatorsWe study problems of interpolation of positive linear operators in couples of ordered Banach spaces

Two-dimensional reductions of the cone of positive diagonal operators in ℓ2The article discusses two-dimensional reductions of the cone of positive diagonal operators in l2

On invertibility of some operator sumsWe study invertibility of some sums of linear bounded operators on Hilbert space (Theorem 1). A

Commutation of Projections and Characterization of Traces on von Neumann Algebras. III Neumann algebras. II. Characterization of tracial functionals among all positive linear functionals on C

A non-commutative version of Nikishin's theorem-adjoint measurable operators. We prove that every positive linear operator from an ordered Banach space to S can

On invertibility of some operator sumsWe study invertibility of some sums of linear bounded operators on Hilbert space (Theorem 1). A

Commutation of Projections and Characterization of Traces on von Neumann Algebras. III Neumann algebras. II. Characterization of tracial functionals among all positive linear functionals on C

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