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