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Besov spaces in operator theory of polynomials of power bounded operators on Hilbert space and related estimates of Hankel matrices in tensor

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

On hermitian operators X and Y meeting the condition -Y ≤ X ≤ YWe obtain a description of all pairs of Hermitian operators X and Y, which satisfy the condition -Y

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 commutation conditions for nonnegative operators and projections in terms of operator inequalities

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

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

On hermitian operators X and Y meeting the condition -Y ≤ X ≤ YWe obtain a description of all pairs of Hermitian operators X and Y, which satisfy the condition -Y

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

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