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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 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
Tripotents in algebras: Invertibility and hyponormality© 2014, Pleiades Publishing, Ltd. Let A be a unital algebra over complex field ℂ, I be the unit
On Extreme Points of Sets in Operator Spaces and State Spaces and to the set of normal states. The unitary elements of a unital $\mathrm C^*$-algebra are characterized
The Haagerup problem on subadditive weights on W*-algebras. II W*-algebra is σ-weakly lower semicontinuous? In 2011 the author has positively answered
Dominated convergence in measure on semifinite von Neumann algebras and arithmetic averages of measurable operators for the algebra M = B(H) of bounded linear operators with the canonical trace τ = tr on a Hilbert space H. We
The topologies of local convergence
in measure on the algebra of measurable operatorsGiven a von Neumann algebra $M$ of operators on a Hilbert space $H$ and a faithful normal
One class of C *-algebras generated by a family of partial isometries and multiplicatorsWe considera C *-subalgebra of the algebra of all bounded operators on the Hilbert space of square
Best Approximations of Solutions of Fractional-integral Equations with the Riemann-Liouville Operator the apparatus of algebraic polynomials. At the same time, the Fredholm property of an integral equation operator
Topological grading of semigroup C*-algebras these operators, we prove the result on the geometry of the underlying Banach space of the semigroup Cf-algebra.
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