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Trace and Commutators of Measurable Operators Affiliated to a Von Neumann Algebra to the trace τ) operators affiliated to a semifinite von Neumann algebra M. For self-adjoint τ

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

Design of grinding plates for a universal grinding machine© 2017, Allerton Press, Inc. New designs of cover plates and grinding plates for a universal

Commutation of projections and trace characterization on von Neumann algebras. IIWe obtain new necessary and sufficient commutation conditions for projections in terms of operator

Commutativity of projections and characterization of traces on Von Neumann algebras of operator inequalities. We apply these inequalities to characterize a trace on von Neumann algebras

Idempotents in a space with conjugationLet H be a complex Hilbert space with conjugation operator J. We study J-real operators and we have

Finiteness of a set of non-collinear vectors generated by a family of linear operatorsLet ℝn be a real n-dimensional space, let {A(x) | x ∈ X} be a family of m = |X| linear operators

Operator symbols and operator indicesWe suggest a certain variant of symbolic calculus for special classes of linear bounded operators

Hydrocarbon films obtained by electron beam for micropatterning in liquid crystal diffraction gratingWe demonstrate very simple method of obtaining the nano-scale hydrocarbon (CH) covering

An Operator Method for Investigation of the Stability of Time-Dependent Source Identification Telegraph Type Differential Problems of the stability of the time-dependent SIPs for the second-order linear differential equation (DE) in a Hilbert

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